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Finding the Fourth Proportional to 11,131.46, 15,362.15 and 6,416.04

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Solution

The fourth proportional to 11,131.46, 15,362.15 and 6,416.04 is: 8,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.46 : 15,362.15 = 6,416.04 : x
  2. Step 2: Convert to fraction form
    11,131.46/15,362.15 = 6,416.04/x
  3. Step 3: Cross multiply
    11,131.46x = 15,362.15 × 6,416.04
  4. Step 4: Simplify right side
    11,131.46x = 98,564,168.89
  5. Step 5: Solve for x
    x = 98,564,168.89/11,131.46
  6. Step 6: Final answer
    x = 8,854.56

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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.