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Finding the Fourth Proportional to 6,957.14, 10,421.80 and 4,182.32

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Solution

The fourth proportional to 6,957.14, 10,421.80 and 4,182.32 is: 6,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.14 : 10,421.80 = 4,182.32 : x
  2. Step 2: Convert to fraction form
    6,957.14/10,421.80 = 4,182.32/x
  3. Step 3: Cross multiply
    6,957.14x = 10,421.80 × 4,182.32
  4. Step 4: Simplify right side
    6,957.14x = 43,587,302.58
  5. Step 5: Solve for x
    x = 43,587,302.58/6,957.14
  6. Step 6: Final answer
    x = 6,265.12

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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.