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Finding the Fourth Proportional to 10,452.68, 15,681.18 and 3,527

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Solution

The fourth proportional to 10,452.68, 15,681.18 and 3,527 is: 5,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.68 : 15,681.18 = 3,527 : x
  2. Step 2: Convert to fraction form
    10,452.68/15,681.18 = 3,527/x
  3. Step 3: Cross multiply
    10,452.68x = 15,681.18 × 3,527
  4. Step 4: Simplify right side
    10,452.68x = 55,307,521.86
  5. Step 5: Solve for x
    x = 55,307,521.86/10,452.68
  6. Step 6: Final answer
    x = 5,291.23

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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.