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Finding the Fourth Proportional to 10,886.78, 16,302.49 and 7,177.78

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Solution

The fourth proportional to 10,886.78, 16,302.49 and 7,177.78 is: 10,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.78 : 16,302.49 = 7,177.78 : x
  2. Step 2: Convert to fraction form
    10,886.78/16,302.49 = 7,177.78/x
  3. Step 3: Cross multiply
    10,886.78x = 16,302.49 × 7,177.78
  4. Step 4: Simplify right side
    10,886.78x = 117,015,686.67
  5. Step 5: Solve for x
    x = 117,015,686.67/10,886.78
  6. Step 6: Final answer
    x = 10,748.42

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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.