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Finding the Fourth Proportional to 10,922.40, 15,073.97 and 6,206.72

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Solution

The fourth proportional to 10,922.40, 15,073.97 and 6,206.72 is: 8,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.40 : 15,073.97 = 6,206.72 : x
  2. Step 2: Convert to fraction form
    10,922.40/15,073.97 = 6,206.72/x
  3. Step 3: Cross multiply
    10,922.40x = 15,073.97 × 6,206.72
  4. Step 4: Simplify right side
    10,922.40x = 93,559,804.67
  5. Step 5: Solve for x
    x = 93,559,804.67/10,922.40
  6. Step 6: Final answer
    x = 8,565.87

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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.