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Finding the Fourth Proportional to 7,746.59, 10,691.85 and 4,602.17

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Solution

The fourth proportional to 7,746.59, 10,691.85 and 4,602.17 is: 6,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.59 : 10,691.85 = 4,602.17 : x
  2. Step 2: Convert to fraction form
    7,746.59/10,691.85 = 4,602.17/x
  3. Step 3: Cross multiply
    7,746.59x = 10,691.85 × 4,602.17
  4. Step 4: Simplify right side
    7,746.59x = 49,205,657.86
  5. Step 5: Solve for x
    x = 49,205,657.86/7,746.59
  6. Step 6: Final answer
    x = 6,351.92

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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.