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Finding the Fourth Proportional to 11,292.32, 15,584.20 and 7,509.08

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Solution

The fourth proportional to 11,292.32, 15,584.20 and 7,509.08 is: 10,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.32 : 15,584.20 = 7,509.08 : x
  2. Step 2: Convert to fraction form
    11,292.32/15,584.20 = 7,509.08/x
  3. Step 3: Cross multiply
    11,292.32x = 15,584.20 × 7,509.08
  4. Step 4: Simplify right side
    11,292.32x = 117,023,004.54
  5. Step 5: Solve for x
    x = 117,023,004.54/11,292.32
  6. Step 6: Final answer
    x = 10,363.06

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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.