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Finding the Fourth Proportional to 10,830.76, 16,248.77 and 3,039.57

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Solution

The fourth proportional to 10,830.76, 16,248.77 and 3,039.57 is: 4,560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.76 : 16,248.77 = 3,039.57 : x
  2. Step 2: Convert to fraction form
    10,830.76/16,248.77 = 3,039.57/x
  3. Step 3: Cross multiply
    10,830.76x = 16,248.77 × 3,039.57
  4. Step 4: Simplify right side
    10,830.76x = 49,389,258.63
  5. Step 5: Solve for x
    x = 49,389,258.63/10,830.76
  6. Step 6: Final answer
    x = 4,560.09

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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.