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Finding the Fourth Proportional to 7,695.52, 11,532.40 and 5,956

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Solution

The fourth proportional to 7,695.52, 11,532.40 and 5,956 is: 8,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.52 : 11,532.40 = 5,956 : x
  2. Step 2: Convert to fraction form
    7,695.52/11,532.40 = 5,956/x
  3. Step 3: Cross multiply
    7,695.52x = 11,532.40 × 5,956
  4. Step 4: Simplify right side
    7,695.52x = 68,686,974.40
  5. Step 5: Solve for x
    x = 68,686,974.40/7,695.52
  6. Step 6: Final answer
    x = 8,925.58

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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.