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Finding the Fourth Proportional to 11,095.65, 15,311.39 and 6,497.82

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Solution

The fourth proportional to 11,095.65, 15,311.39 and 6,497.82 is: 8,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.65 : 15,311.39 = 6,497.82 : x
  2. Step 2: Convert to fraction form
    11,095.65/15,311.39 = 6,497.82/x
  3. Step 3: Cross multiply
    11,095.65x = 15,311.39 × 6,497.82
  4. Step 4: Simplify right side
    11,095.65x = 99,490,623.68
  5. Step 5: Solve for x
    x = 99,490,623.68/11,095.65
  6. Step 6: Final answer
    x = 8,966.63

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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.