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Finding the Fourth Proportional to 11,306.96, 16,878.08 and 10,473.16

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Solution

The fourth proportional to 11,306.96, 16,878.08 and 10,473.16 is: 15,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.96 : 16,878.08 = 10,473.16 : x
  2. Step 2: Convert to fraction form
    11,306.96/16,878.08 = 10,473.16/x
  3. Step 3: Cross multiply
    11,306.96x = 16,878.08 × 10,473.16
  4. Step 4: Simplify right side
    11,306.96x = 176,766,737.77
  5. Step 5: Solve for x
    x = 176,766,737.77/11,306.96
  6. Step 6: Final answer
    x = 15,633.45

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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.