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Finding the Fourth Proportional to 11,215.76, 15,474.32 and 6,499.13

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Solution

The fourth proportional to 11,215.76, 15,474.32 and 6,499.13 is: 8,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.76 : 15,474.32 = 6,499.13 : x
  2. Step 2: Convert to fraction form
    11,215.76/15,474.32 = 6,499.13/x
  3. Step 3: Cross multiply
    11,215.76x = 15,474.32 × 6,499.13
  4. Step 4: Simplify right side
    11,215.76x = 100,569,617.34
  5. Step 5: Solve for x
    x = 100,569,617.34/11,215.76
  6. Step 6: Final answer
    x = 8,966.81

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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.