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Finding the Fourth Proportional to 11,238.42, 15,509.73 and 6,459.90

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Solution

The fourth proportional to 11,238.42, 15,509.73 and 6,459.90 is: 8,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.42 : 15,509.73 = 6,459.90 : x
  2. Step 2: Convert to fraction form
    11,238.42/15,509.73 = 6,459.90/x
  3. Step 3: Cross multiply
    11,238.42x = 15,509.73 × 6,459.90
  4. Step 4: Simplify right side
    11,238.42x = 100,191,304.83
  5. Step 5: Solve for x
    x = 100,191,304.83/11,238.42
  6. Step 6: Final answer
    x = 8,915.07

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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.