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Finding the Fourth Proportional to 10,701.68, 14,773.56 and 8,306.24

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Solution

The fourth proportional to 10,701.68, 14,773.56 and 8,306.24 is: 11,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.68 : 14,773.56 = 8,306.24 : x
  2. Step 2: Convert to fraction form
    10,701.68/14,773.56 = 8,306.24/x
  3. Step 3: Cross multiply
    10,701.68x = 14,773.56 × 8,306.24
  4. Step 4: Simplify right side
    10,701.68x = 122,712,735.01
  5. Step 5: Solve for x
    x = 122,712,735.01/10,701.68
  6. Step 6: Final answer
    x = 11,466.68

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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.