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Finding the Fourth Proportional to 7,814.11, 10,780.80 and 4,454.50

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Solution

The fourth proportional to 7,814.11, 10,780.80 and 4,454.50 is: 6,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.11 : 10,780.80 = 4,454.50 : x
  2. Step 2: Convert to fraction form
    7,814.11/10,780.80 = 4,454.50/x
  3. Step 3: Cross multiply
    7,814.11x = 10,780.80 × 4,454.50
  4. Step 4: Simplify right side
    7,814.11x = 48,023,117.26
  5. Step 5: Solve for x
    x = 48,023,117.26/7,814.11
  6. Step 6: Final answer
    x = 6,145.69

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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.