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Finding the Fourth Proportional to 10,886.67, 16,302.31 and 7,177.65

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Solution

The fourth proportional to 10,886.67, 16,302.31 and 7,177.65 is: 10,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.67 : 16,302.31 = 7,177.65 : x
  2. Step 2: Convert to fraction form
    10,886.67/16,302.31 = 7,177.65/x
  3. Step 3: Cross multiply
    10,886.67x = 16,302.31 × 7,177.65
  4. Step 4: Simplify right side
    10,886.67x = 117,012,196.29
  5. Step 5: Solve for x
    x = 117,012,196.29/10,886.67
  6. Step 6: Final answer
    x = 10,748.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.