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Finding the Fourth Proportional to 10,214.80, 14,095.78 and 5,677.20

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Solution

The fourth proportional to 10,214.80, 14,095.78 and 5,677.20 is: 7,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.80 : 14,095.78 = 5,677.20 : x
  2. Step 2: Convert to fraction form
    10,214.80/14,095.78 = 5,677.20/x
  3. Step 3: Cross multiply
    10,214.80x = 14,095.78 × 5,677.20
  4. Step 4: Simplify right side
    10,214.80x = 80,024,548.02
  5. Step 5: Solve for x
    x = 80,024,548.02/10,214.80
  6. Step 6: Final answer
    x = 7,834.18

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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.