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Finding the Fourth Proportional to 6,206.76, 8,565.30 and 3,374.10

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Solution

The fourth proportional to 6,206.76, 8,565.30 and 3,374.10 is: 4,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.76 : 8,565.30 = 3,374.10 : x
  2. Step 2: Convert to fraction form
    6,206.76/8,565.30 = 3,374.10/x
  3. Step 3: Cross multiply
    6,206.76x = 8,565.30 × 3,374.10
  4. Step 4: Simplify right side
    6,206.76x = 28,900,178.73
  5. Step 5: Solve for x
    x = 28,900,178.73/6,206.76
  6. Step 6: Final answer
    x = 4,656.24

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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.