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Finding the Fourth Proportional to 8,275.08, 12,411.54 and 3,657

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Solution

The fourth proportional to 8,275.08, 12,411.54 and 3,657 is: 5,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.08 : 12,411.54 = 3,657 : x
  2. Step 2: Convert to fraction form
    8,275.08/12,411.54 = 3,657/x
  3. Step 3: Cross multiply
    8,275.08x = 12,411.54 × 3,657
  4. Step 4: Simplify right side
    8,275.08x = 45,389,001.78
  5. Step 5: Solve for x
    x = 45,389,001.78/8,275.08
  6. Step 6: Final answer
    x = 5,485.02

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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.