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Finding the Fourth Proportional to 10,583.68, 15,877.14 and 3,187.16

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Solution

The fourth proportional to 10,583.68, 15,877.14 and 3,187.16 is: 4,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.68 : 15,877.14 = 3,187.16 : x
  2. Step 2: Convert to fraction form
    10,583.68/15,877.14 = 3,187.16/x
  3. Step 3: Cross multiply
    10,583.68x = 15,877.14 × 3,187.16
  4. Step 4: Simplify right side
    10,583.68x = 50,602,985.52
  5. Step 5: Solve for x
    x = 50,602,985.52/10,583.68
  6. Step 6: Final answer
    x = 4,781.23

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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.