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Finding the Fourth Proportional to 11,289.64, 15,587.31 and 7,047.16

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Solution

The fourth proportional to 11,289.64, 15,587.31 and 7,047.16 is: 9,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.64 : 15,587.31 = 7,047.16 : x
  2. Step 2: Convert to fraction form
    11,289.64/15,587.31 = 7,047.16/x
  3. Step 3: Cross multiply
    11,289.64x = 15,587.31 × 7,047.16
  4. Step 4: Simplify right side
    11,289.64x = 109,846,267.54
  5. Step 5: Solve for x
    x = 109,846,267.54/11,289.64
  6. Step 6: Final answer
    x = 9,729.83

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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.