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Finding the Fourth Proportional to 10,279.77, 15,440.69 and 6,774.80

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Solution

The fourth proportional to 10,279.77, 15,440.69 and 6,774.80 is: 10,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.77 : 15,440.69 = 6,774.80 : x
  2. Step 2: Convert to fraction form
    10,279.77/15,440.69 = 6,774.80/x
  3. Step 3: Cross multiply
    10,279.77x = 15,440.69 × 6,774.80
  4. Step 4: Simplify right side
    10,279.77x = 104,607,475.53
  5. Step 5: Solve for x
    x = 104,607,475.53/10,279.77
  6. Step 6: Final answer
    x = 10,176.05

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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.