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Finding the Fourth Proportional to 10,337.82, 15,509.16 and 5,407.08

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Solution

The fourth proportional to 10,337.82, 15,509.16 and 5,407.08 is: 8,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.82 : 15,509.16 = 5,407.08 : x
  2. Step 2: Convert to fraction form
    10,337.82/15,509.16 = 5,407.08/x
  3. Step 3: Cross multiply
    10,337.82x = 15,509.16 × 5,407.08
  4. Step 4: Simplify right side
    10,337.82x = 83,859,268.85
  5. Step 5: Solve for x
    x = 83,859,268.85/10,337.82
  6. Step 6: Final answer
    x = 8,111.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.