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Finding the Fourth Proportional to 10,862.58, 16,266.29 and 9,102.96

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Solution

The fourth proportional to 10,862.58, 16,266.29 and 9,102.96 is: 13,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.58 : 16,266.29 = 9,102.96 : x
  2. Step 2: Convert to fraction form
    10,862.58/16,266.29 = 9,102.96/x
  3. Step 3: Cross multiply
    10,862.58x = 16,266.29 × 9,102.96
  4. Step 4: Simplify right side
    10,862.58x = 148,071,305.89
  5. Step 5: Solve for x
    x = 148,071,305.89/10,862.58
  6. Step 6: Final answer
    x = 13,631.32

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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.