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Finding the Fourth Proportional to 10,734.55, 14,814.06 and 6,257.58

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Solution

The fourth proportional to 10,734.55, 14,814.06 and 6,257.58 is: 8,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.55 : 14,814.06 = 6,257.58 : x
  2. Step 2: Convert to fraction form
    10,734.55/14,814.06 = 6,257.58/x
  3. Step 3: Cross multiply
    10,734.55x = 14,814.06 × 6,257.58
  4. Step 4: Simplify right side
    10,734.55x = 92,700,165.57
  5. Step 5: Solve for x
    x = 92,700,165.57/10,734.55
  6. Step 6: Final answer
    x = 8,635.68

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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.