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Finding the Fourth Proportional to 11,707.70, 16,156.68 and 7,515.95

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Solution

The fourth proportional to 11,707.70, 16,156.68 and 7,515.95 is: 10,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.70 : 16,156.68 = 7,515.95 : x
  2. Step 2: Convert to fraction form
    11,707.70/16,156.68 = 7,515.95/x
  3. Step 3: Cross multiply
    11,707.70x = 16,156.68 × 7,515.95
  4. Step 4: Simplify right side
    11,707.70x = 121,432,718.26
  5. Step 5: Solve for x
    x = 121,432,718.26/11,707.70
  6. Step 6: Final answer
    x = 10,372.04

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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.