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Finding the Fourth Proportional to 10,505.10, 15,757.65 and 5,310.30

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Solution

The fourth proportional to 10,505.10, 15,757.65 and 5,310.30 is: 7,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.10 : 15,757.65 = 5,310.30 : x
  2. Step 2: Convert to fraction form
    10,505.10/15,757.65 = 5,310.30/x
  3. Step 3: Cross multiply
    10,505.10x = 15,757.65 × 5,310.30
  4. Step 4: Simplify right side
    10,505.10x = 83,677,848.80
  5. Step 5: Solve for x
    x = 83,677,848.80/10,505.10
  6. Step 6: Final answer
    x = 7,965.45

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