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Finding the Fourth Proportional to 7,707.60, 11,545.20 and 6,056.28

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Solution

The fourth proportional to 7,707.60, 11,545.20 and 6,056.28 is: 9,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.60 : 11,545.20 = 6,056.28 : x
  2. Step 2: Convert to fraction form
    7,707.60/11,545.20 = 6,056.28/x
  3. Step 3: Cross multiply
    7,707.60x = 11,545.20 × 6,056.28
  4. Step 4: Simplify right side
    7,707.60x = 69,920,963.86
  5. Step 5: Solve for x
    x = 69,920,963.86/7,707.60
  6. Step 6: Final answer
    x = 9,071.69

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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.