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Finding the Fourth Proportional to 7,711.32, 10,641.57 and 4,354.11

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Solution

The fourth proportional to 7,711.32, 10,641.57 and 4,354.11 is: 6,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.32 : 10,641.57 = 4,354.11 : x
  2. Step 2: Convert to fraction form
    7,711.32/10,641.57 = 4,354.11/x
  3. Step 3: Cross multiply
    7,711.32x = 10,641.57 × 4,354.11
  4. Step 4: Simplify right side
    7,711.32x = 46,334,566.35
  5. Step 5: Solve for x
    x = 46,334,566.35/7,711.32
  6. Step 6: Final answer
    x = 6,008.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.