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Finding the Fourth Proportional to 11,510.61, 17,181.87 and 9,877.65

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Solution

The fourth proportional to 11,510.61, 17,181.87 and 9,877.65 is: 14,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.61 : 17,181.87 = 9,877.65 : x
  2. Step 2: Convert to fraction form
    11,510.61/17,181.87 = 9,877.65/x
  3. Step 3: Cross multiply
    11,510.61x = 17,181.87 × 9,877.65
  4. Step 4: Simplify right side
    11,510.61x = 169,716,412.30
  5. Step 5: Solve for x
    x = 169,716,412.30/11,510.61
  6. Step 6: Final answer
    x = 14,744.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.