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Finding the Fourth Proportional to 7,432.64, 11,140.32 and 3,320

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Solution

The fourth proportional to 7,432.64, 11,140.32 and 3,320 is: 4,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.64 : 11,140.32 = 3,320 : x
  2. Step 2: Convert to fraction form
    7,432.64/11,140.32 = 3,320/x
  3. Step 3: Cross multiply
    7,432.64x = 11,140.32 × 3,320
  4. Step 4: Simplify right side
    7,432.64x = 36,985,862.40
  5. Step 5: Solve for x
    x = 36,985,862.40/7,432.64
  6. Step 6: Final answer
    x = 4,976.14

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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.