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Finding the Fourth Proportional to 7,766.58, 11,593.47 and 7,188.36

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Solution

The fourth proportional to 7,766.58, 11,593.47 and 7,188.36 is: 10,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.58 : 11,593.47 = 7,188.36 : x
  2. Step 2: Convert to fraction form
    7,766.58/11,593.47 = 7,188.36/x
  3. Step 3: Cross multiply
    7,766.58x = 11,593.47 × 7,188.36
  4. Step 4: Simplify right side
    7,766.58x = 83,338,036.01
  5. Step 5: Solve for x
    x = 83,338,036.01/7,766.58
  6. Step 6: Final answer
    x = 10,730.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.