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Finding the Fourth Proportional to 7,719.90, 11,552.17 and 6,683.47

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Solution

The fourth proportional to 7,719.90, 11,552.17 and 6,683.47 is: 10,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.90 : 11,552.17 = 6,683.47 : x
  2. Step 2: Convert to fraction form
    7,719.90/11,552.17 = 6,683.47/x
  3. Step 3: Cross multiply
    7,719.90x = 11,552.17 × 6,683.47
  4. Step 4: Simplify right side
    7,719.90x = 77,208,536.04
  5. Step 5: Solve for x
    x = 77,208,536.04/7,719.90
  6. Step 6: Final answer
    x = 10,001.24

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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.