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Finding the Fourth Proportional to 7,983.32, 11,904.65 and 7,429.28

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Solution

The fourth proportional to 7,983.32, 11,904.65 and 7,429.28 is: 11,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.32 : 11,904.65 = 7,429.28 : x
  2. Step 2: Convert to fraction form
    7,983.32/11,904.65 = 7,429.28/x
  3. Step 3: Cross multiply
    7,983.32x = 11,904.65 × 7,429.28
  4. Step 4: Simplify right side
    7,983.32x = 88,442,978.15
  5. Step 5: Solve for x
    x = 88,442,978.15/7,983.32
  6. Step 6: Final answer
    x = 11,078.47

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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.