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Finding the Fourth Proportional to 6,957.80, 10,438.32 and 2,277.78

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Solution

The fourth proportional to 6,957.80, 10,438.32 and 2,277.78 is: 3,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.80 : 10,438.32 = 2,277.78 : x
  2. Step 2: Convert to fraction form
    6,957.80/10,438.32 = 2,277.78/x
  3. Step 3: Cross multiply
    6,957.80x = 10,438.32 × 2,277.78
  4. Step 4: Simplify right side
    6,957.80x = 23,776,196.53
  5. Step 5: Solve for x
    x = 23,776,196.53/6,957.80
  6. Step 6: Final answer
    x = 3,417.20

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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.