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Finding the Fourth Proportional to 10,697.47, 16,051.97 and 5,073.84

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Solution

The fourth proportional to 10,697.47, 16,051.97 and 5,073.84 is: 7,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.47 : 16,051.97 = 5,073.84 : x
  2. Step 2: Convert to fraction form
    10,697.47/16,051.97 = 5,073.84/x
  3. Step 3: Cross multiply
    10,697.47x = 16,051.97 × 5,073.84
  4. Step 4: Simplify right side
    10,697.47x = 81,445,140.15
  5. Step 5: Solve for x
    x = 81,445,140.15/10,697.47
  6. Step 6: Final answer
    x = 7,613.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.