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Finding the Fourth Proportional to 7,966.88, 10,989 and 6,071.52

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Solution

The fourth proportional to 7,966.88, 10,989 and 6,071.52 is: 8,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.88 : 10,989 = 6,071.52 : x
  2. Step 2: Convert to fraction form
    7,966.88/10,989 = 6,071.52/x
  3. Step 3: Cross multiply
    7,966.88x = 10,989 × 6,071.52
  4. Step 4: Simplify right side
    7,966.88x = 66,719,933.28
  5. Step 5: Solve for x
    x = 66,719,933.28/7,966.88
  6. Step 6: Final answer
    x = 8,374.66

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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.