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Finding the Fourth Proportional to 7,867.52, 10,853.76 and 4,881.20

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Solution

The fourth proportional to 7,867.52, 10,853.76 and 4,881.20 is: 6,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.52 : 10,853.76 = 4,881.20 : x
  2. Step 2: Convert to fraction form
    7,867.52/10,853.76 = 4,881.20/x
  3. Step 3: Cross multiply
    7,867.52x = 10,853.76 × 4,881.20
  4. Step 4: Simplify right side
    7,867.52x = 52,979,373.31
  5. Step 5: Solve for x
    x = 52,979,373.31/7,867.52
  6. Step 6: Final answer
    x = 6,733.94

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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.