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Finding the Fourth Proportional to 10,602.68, 15,904.02 and 3,677.18

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Solution

The fourth proportional to 10,602.68, 15,904.02 and 3,677.18 is: 5,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.68 : 15,904.02 = 3,677.18 : x
  2. Step 2: Convert to fraction form
    10,602.68/15,904.02 = 3,677.18/x
  3. Step 3: Cross multiply
    10,602.68x = 15,904.02 × 3,677.18
  4. Step 4: Simplify right side
    10,602.68x = 58,481,944.26
  5. Step 5: Solve for x
    x = 58,481,944.26/10,602.68
  6. Step 6: Final answer
    x = 5,515.77

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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.