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Finding the Fourth Proportional to 10,507.50, 15,750.61 and 6,812.08

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Solution

The fourth proportional to 10,507.50, 15,750.61 and 6,812.08 is: 10,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.50 : 15,750.61 = 6,812.08 : x
  2. Step 2: Convert to fraction form
    10,507.50/15,750.61 = 6,812.08/x
  3. Step 3: Cross multiply
    10,507.50x = 15,750.61 × 6,812.08
  4. Step 4: Simplify right side
    10,507.50x = 107,294,415.37
  5. Step 5: Solve for x
    x = 107,294,415.37/10,507.50
  6. Step 6: Final answer
    x = 10,211.22

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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.