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Finding the Fourth Proportional to 11,378.78, 15,701.16 and 6,342.40

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Solution

The fourth proportional to 11,378.78, 15,701.16 and 6,342.40 is: 8,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.78 : 15,701.16 = 6,342.40 : x
  2. Step 2: Convert to fraction form
    11,378.78/15,701.16 = 6,342.40/x
  3. Step 3: Cross multiply
    11,378.78x = 15,701.16 × 6,342.40
  4. Step 4: Simplify right side
    11,378.78x = 99,582,926.97
  5. Step 5: Solve for x
    x = 99,582,926.97/11,378.78
  6. Step 6: Final answer
    x = 8,751.64

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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.