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Finding the Fourth Proportional to 7,962.32, 11,962.80 and 7,029.20

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Solution

The fourth proportional to 7,962.32, 11,962.80 and 7,029.20 is: 10,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.32 : 11,962.80 = 7,029.20 : x
  2. Step 2: Convert to fraction form
    7,962.32/11,962.80 = 7,029.20/x
  3. Step 3: Cross multiply
    7,962.32x = 11,962.80 × 7,029.20
  4. Step 4: Simplify right side
    7,962.32x = 84,088,913.76
  5. Step 5: Solve for x
    x = 84,088,913.76/7,962.32
  6. Step 6: Final answer
    x = 10,560.86

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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.