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Finding the Fourth Proportional to 6,695.80, 10,032.90 and 4,384.60

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Solution

The fourth proportional to 6,695.80, 10,032.90 and 4,384.60 is: 6,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.80 : 10,032.90 = 4,384.60 : x
  2. Step 2: Convert to fraction form
    6,695.80/10,032.90 = 4,384.60/x
  3. Step 3: Cross multiply
    6,695.80x = 10,032.90 × 4,384.60
  4. Step 4: Simplify right side
    6,695.80x = 43,990,253.34
  5. Step 5: Solve for x
    x = 43,990,253.34/6,695.80
  6. Step 6: Final answer
    x = 6,569.83

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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.