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Finding the Fourth Proportional to 10,602.16, 15,901.71 and 3,580.90

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Solution

The fourth proportional to 10,602.16, 15,901.71 and 3,580.90 is: 5,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.16 : 15,901.71 = 3,580.90 : x
  2. Step 2: Convert to fraction form
    10,602.16/15,901.71 = 3,580.90/x
  3. Step 3: Cross multiply
    10,602.16x = 15,901.71 × 3,580.90
  4. Step 4: Simplify right side
    10,602.16x = 56,942,433.34
  5. Step 5: Solve for x
    x = 56,942,433.34/10,602.16
  6. Step 6: Final answer
    x = 5,370.83

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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.