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Finding the Fourth Proportional to 11,024.64, 15,215.04 and 7,843.68

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Solution

The fourth proportional to 11,024.64, 15,215.04 and 7,843.68 is: 10,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.64 : 15,215.04 = 7,843.68 : x
  2. Step 2: Convert to fraction form
    11,024.64/15,215.04 = 7,843.68/x
  3. Step 3: Cross multiply
    11,024.64x = 15,215.04 × 7,843.68
  4. Step 4: Simplify right side
    11,024.64x = 119,341,904.95
  5. Step 5: Solve for x
    x = 119,341,904.95/11,024.64
  6. Step 6: Final answer
    x = 10,825.02

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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.