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Finding the Fourth Proportional to 11,002.32, 15,184.44 and 7,644.24

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Solution

The fourth proportional to 11,002.32, 15,184.44 and 7,644.24 is: 10,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.32 : 15,184.44 = 7,644.24 : x
  2. Step 2: Convert to fraction form
    11,002.32/15,184.44 = 7,644.24/x
  3. Step 3: Cross multiply
    11,002.32x = 15,184.44 × 7,644.24
  4. Step 4: Simplify right side
    11,002.32x = 116,073,503.63
  5. Step 5: Solve for x
    x = 116,073,503.63/11,002.32
  6. Step 6: Final answer
    x = 10,549.91

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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.