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Finding the Fourth Proportional to 11,276.58, 15,567.92 and 8,442.93

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Solution

The fourth proportional to 11,276.58, 15,567.92 and 8,442.93 is: 11,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.58 : 15,567.92 = 8,442.93 : x
  2. Step 2: Convert to fraction form
    11,276.58/15,567.92 = 8,442.93/x
  3. Step 3: Cross multiply
    11,276.58x = 15,567.92 × 8,442.93
  4. Step 4: Simplify right side
    11,276.58x = 131,438,738.75
  5. Step 5: Solve for x
    x = 131,438,738.75/11,276.58
  6. Step 6: Final answer
    x = 11,655.91

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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.