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Finding the Fourth Proportional to 11,610.72, 16,023.36 and 6,575.16

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Solution

The fourth proportional to 11,610.72, 16,023.36 and 6,575.16 is: 9,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.72 : 16,023.36 = 6,575.16 : x
  2. Step 2: Convert to fraction form
    11,610.72/16,023.36 = 6,575.16/x
  3. Step 3: Cross multiply
    11,610.72x = 16,023.36 × 6,575.16
  4. Step 4: Simplify right side
    11,610.72x = 105,356,155.74
  5. Step 5: Solve for x
    x = 105,356,155.74/11,610.72
  6. Step 6: Final answer
    x = 9,074.04

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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.