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Finding the Fourth Proportional to 10,488.77, 15,738.60 and 9,883.70

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Solution

The fourth proportional to 10,488.77, 15,738.60 and 9,883.70 is: 14,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.77 : 15,738.60 = 9,883.70 : x
  2. Step 2: Convert to fraction form
    10,488.77/15,738.60 = 9,883.70/x
  3. Step 3: Cross multiply
    10,488.77x = 15,738.60 × 9,883.70
  4. Step 4: Simplify right side
    10,488.77x = 155,555,600.82
  5. Step 5: Solve for x
    x = 155,555,600.82/10,488.77
  6. Step 6: Final answer
    x = 14,830.68

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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.