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Finding the Fourth Proportional to 7,254.31, 10,005.29 and 4,863.50

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Solution

The fourth proportional to 7,254.31, 10,005.29 and 4,863.50 is: 6,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.31 : 10,005.29 = 4,863.50 : x
  2. Step 2: Convert to fraction form
    7,254.31/10,005.29 = 4,863.50/x
  3. Step 3: Cross multiply
    7,254.31x = 10,005.29 × 4,863.50
  4. Step 4: Simplify right side
    7,254.31x = 48,660,653.57
  5. Step 5: Solve for x
    x = 48,660,653.57/7,254.31
  6. Step 6: Final answer
    x = 6,707.83

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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.