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Finding the Fourth Proportional to 6,701.75, 10,056.89 and 4,726.16

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Solution

The fourth proportional to 6,701.75, 10,056.89 and 4,726.16 is: 7,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.75 : 10,056.89 = 4,726.16 : x
  2. Step 2: Convert to fraction form
    6,701.75/10,056.89 = 4,726.16/x
  3. Step 3: Cross multiply
    6,701.75x = 10,056.89 × 4,726.16
  4. Step 4: Simplify right side
    6,701.75x = 47,530,432.77
  5. Step 5: Solve for x
    x = 47,530,432.77/6,701.75
  6. Step 6: Final answer
    x = 7,092.25

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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.