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Finding the Fourth Proportional to 10,697.51, 16,141.93 and 10,292.51

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Solution

The fourth proportional to 10,697.51, 16,141.93 and 10,292.51 is: 15,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.51 : 16,141.93 = 10,292.51 : x
  2. Step 2: Convert to fraction form
    10,697.51/16,141.93 = 10,292.51/x
  3. Step 3: Cross multiply
    10,697.51x = 16,141.93 × 10,292.51
  4. Step 4: Simplify right side
    10,697.51x = 166,140,975.94
  5. Step 5: Solve for x
    x = 166,140,975.94/10,697.51
  6. Step 6: Final answer
    x = 15,530.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.