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Finding the Fourth Proportional to 10,374.50, 14,311.88 and 7,018.49

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Solution

The fourth proportional to 10,374.50, 14,311.88 and 7,018.49 is: 9,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.50 : 14,311.88 = 7,018.49 : x
  2. Step 2: Convert to fraction form
    10,374.50/14,311.88 = 7,018.49/x
  3. Step 3: Cross multiply
    10,374.50x = 14,311.88 × 7,018.49
  4. Step 4: Simplify right side
    10,374.50x = 100,447,751.57
  5. Step 5: Solve for x
    x = 100,447,751.57/10,374.50
  6. Step 6: Final answer
    x = 9,682.18

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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.