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Finding the Fourth Proportional to 7,932.32, 10,967.12 and 7,583.76

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Solution

The fourth proportional to 7,932.32, 10,967.12 and 7,583.76 is: 10,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.32 : 10,967.12 = 7,583.76 : x
  2. Step 2: Convert to fraction form
    7,932.32/10,967.12 = 7,583.76/x
  3. Step 3: Cross multiply
    7,932.32x = 10,967.12 × 7,583.76
  4. Step 4: Simplify right side
    7,932.32x = 83,172,064.09
  5. Step 5: Solve for x
    x = 83,172,064.09/7,932.32
  6. Step 6: Final answer
    x = 10,485.22

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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.