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Finding the Fourth Proportional to 11,385.12, 15,718.14 and 7,199.04

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Solution

The fourth proportional to 11,385.12, 15,718.14 and 7,199.04 is: 9,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.12 : 15,718.14 = 7,199.04 : x
  2. Step 2: Convert to fraction form
    11,385.12/15,718.14 = 7,199.04/x
  3. Step 3: Cross multiply
    11,385.12x = 15,718.14 × 7,199.04
  4. Step 4: Simplify right side
    11,385.12x = 113,155,518.59
  5. Step 5: Solve for x
    x = 113,155,518.59/11,385.12
  6. Step 6: Final answer
    x = 9,938.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.