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Finding the Fourth Proportional to 6,909.38, 10,364.01 and 1,715.25

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Solution

The fourth proportional to 6,909.38, 10,364.01 and 1,715.25 is: 2,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.38 : 10,364.01 = 1,715.25 : x
  2. Step 2: Convert to fraction form
    6,909.38/10,364.01 = 1,715.25/x
  3. Step 3: Cross multiply
    6,909.38x = 10,364.01 × 1,715.25
  4. Step 4: Simplify right side
    6,909.38x = 17,776,868.15
  5. Step 5: Solve for x
    x = 17,776,868.15/6,909.38
  6. Step 6: Final answer
    x = 2,572.86

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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.