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Finding the Fourth Proportional to 6,842.61, 10,265.13 and 3,555.43

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Solution

The fourth proportional to 6,842.61, 10,265.13 and 3,555.43 is: 5,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.61 : 10,265.13 = 3,555.43 : x
  2. Step 2: Convert to fraction form
    6,842.61/10,265.13 = 3,555.43/x
  3. Step 3: Cross multiply
    6,842.61x = 10,265.13 × 3,555.43
  4. Step 4: Simplify right side
    6,842.61x = 36,496,925.49
  5. Step 5: Solve for x
    x = 36,496,925.49/6,842.61
  6. Step 6: Final answer
    x = 5,333.77

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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.