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Finding the Fourth Proportional to 10,902.96, 15,045.94 and 6,426.90

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Solution

The fourth proportional to 10,902.96, 15,045.94 and 6,426.90 is: 8,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.96 : 15,045.94 = 6,426.90 : x
  2. Step 2: Convert to fraction form
    10,902.96/15,045.94 = 6,426.90/x
  3. Step 3: Cross multiply
    10,902.96x = 15,045.94 × 6,426.90
  4. Step 4: Simplify right side
    10,902.96x = 96,698,751.79
  5. Step 5: Solve for x
    x = 96,698,751.79/10,902.96
  6. Step 6: Final answer
    x = 8,869.04

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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.