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Finding the Fourth Proportional to 6,875.60, 10,315.12 and 3,754.72

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Solution

The fourth proportional to 6,875.60, 10,315.12 and 3,754.72 is: 5,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.60 : 10,315.12 = 3,754.72 : x
  2. Step 2: Convert to fraction form
    6,875.60/10,315.12 = 3,754.72/x
  3. Step 3: Cross multiply
    6,875.60x = 10,315.12 × 3,754.72
  4. Step 4: Simplify right side
    6,875.60x = 38,730,387.37
  5. Step 5: Solve for x
    x = 38,730,387.37/6,875.60
  6. Step 6: Final answer
    x = 5,633.02

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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.