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Finding the Fourth Proportional to 11,586.42, 15,992.13 and 7,612.92

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Solution

The fourth proportional to 11,586.42, 15,992.13 and 7,612.92 is: 10,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.42 : 15,992.13 = 7,612.92 : x
  2. Step 2: Convert to fraction form
    11,586.42/15,992.13 = 7,612.92/x
  3. Step 3: Cross multiply
    11,586.42x = 15,992.13 × 7,612.92
  4. Step 4: Simplify right side
    11,586.42x = 121,746,806.32
  5. Step 5: Solve for x
    x = 121,746,806.32/11,586.42
  6. Step 6: Final answer
    x = 10,507.72

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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.