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Finding the Fourth Proportional to 11,373.85, 15,695.78 and 6,338.06

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Solution

The fourth proportional to 11,373.85, 15,695.78 and 6,338.06 is: 8,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.85 : 15,695.78 = 6,338.06 : x
  2. Step 2: Convert to fraction form
    11,373.85/15,695.78 = 6,338.06/x
  3. Step 3: Cross multiply
    11,373.85x = 15,695.78 × 6,338.06
  4. Step 4: Simplify right side
    11,373.85x = 99,480,685.22
  5. Step 5: Solve for x
    x = 99,480,685.22/11,373.85
  6. Step 6: Final answer
    x = 8,746.44

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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.