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Finding the Fourth Proportional to 7,148.64, 10,700.28 and 6,876.48

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Solution

The fourth proportional to 7,148.64, 10,700.28 and 6,876.48 is: 10,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.64 : 10,700.28 = 6,876.48 : x
  2. Step 2: Convert to fraction form
    7,148.64/10,700.28 = 6,876.48/x
  3. Step 3: Cross multiply
    7,148.64x = 10,700.28 × 6,876.48
  4. Step 4: Simplify right side
    7,148.64x = 73,580,261.41
  5. Step 5: Solve for x
    x = 73,580,261.41/7,148.64
  6. Step 6: Final answer
    x = 10,292.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.