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Finding the Fourth Proportional to 10,376.50, 14,319.57 and 6,650.50

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Solution

The fourth proportional to 10,376.50, 14,319.57 and 6,650.50 is: 9,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.50 : 14,319.57 = 6,650.50 : x
  2. Step 2: Convert to fraction form
    10,376.50/14,319.57 = 6,650.50/x
  3. Step 3: Cross multiply
    10,376.50x = 14,319.57 × 6,650.50
  4. Step 4: Simplify right side
    10,376.50x = 95,232,300.29
  5. Step 5: Solve for x
    x = 95,232,300.29/10,376.50
  6. Step 6: Final answer
    x = 9,177.69

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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.