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Finding the Fourth Proportional to 10,952.32, 15,113.92 and 5,984

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Solution

The fourth proportional to 10,952.32, 15,113.92 and 5,984 is: 8,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.32 : 15,113.92 = 5,984 : x
  2. Step 2: Convert to fraction form
    10,952.32/15,113.92 = 5,984/x
  3. Step 3: Cross multiply
    10,952.32x = 15,113.92 × 5,984
  4. Step 4: Simplify right side
    10,952.32x = 90,441,697.28
  5. Step 5: Solve for x
    x = 90,441,697.28/10,952.32
  6. Step 6: Final answer
    x = 8,257.77

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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.