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Finding the Fourth Proportional to 7,717.14, 11,543.04 and 6,516.18

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Solution

The fourth proportional to 7,717.14, 11,543.04 and 6,516.18 is: 9,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.14 : 11,543.04 = 6,516.18 : x
  2. Step 2: Convert to fraction form
    7,717.14/11,543.04 = 6,516.18/x
  3. Step 3: Cross multiply
    7,717.14x = 11,543.04 × 6,516.18
  4. Step 4: Simplify right side
    7,717.14x = 75,216,526.39
  5. Step 5: Solve for x
    x = 75,216,526.39/7,717.14
  6. Step 6: Final answer
    x = 9,746.68

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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.