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Finding the Fourth Proportional to 10,534.66, 15,684.99 and 10,387.53

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Solution

The fourth proportional to 10,534.66, 15,684.99 and 10,387.53 is: 15,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.66 : 15,684.99 = 10,387.53 : x
  2. Step 2: Convert to fraction form
    10,534.66/15,684.99 = 10,387.53/x
  3. Step 3: Cross multiply
    10,534.66x = 15,684.99 × 10,387.53
  4. Step 4: Simplify right side
    10,534.66x = 162,928,252.24
  5. Step 5: Solve for x
    x = 162,928,252.24/10,534.66
  6. Step 6: Final answer
    x = 15,465.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.