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Finding the Fourth Proportional to 7,810.68, 10,778.18 and 4,454.04

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Solution

The fourth proportional to 7,810.68, 10,778.18 and 4,454.04 is: 6,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.68 : 10,778.18 = 4,454.04 : x
  2. Step 2: Convert to fraction form
    7,810.68/10,778.18 = 4,454.04/x
  3. Step 3: Cross multiply
    7,810.68x = 10,778.18 × 4,454.04
  4. Step 4: Simplify right side
    7,810.68x = 48,006,444.85
  5. Step 5: Solve for x
    x = 48,006,444.85/7,810.68
  6. Step 6: Final answer
    x = 6,146.26

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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.