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Finding the Fourth Proportional to 10,513.25, 15,756.53 and 10,402.02

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Solution

The fourth proportional to 10,513.25, 15,756.53 and 10,402.02 is: 15,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.25 : 15,756.53 = 10,402.02 : x
  2. Step 2: Convert to fraction form
    10,513.25/15,756.53 = 10,402.02/x
  3. Step 3: Cross multiply
    10,513.25x = 15,756.53 × 10,402.02
  4. Step 4: Simplify right side
    10,513.25x = 163,899,740.19
  5. Step 5: Solve for x
    x = 163,899,740.19/10,513.25
  6. Step 6: Final answer
    x = 15,589.83

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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.