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Finding the Fourth Proportional to 10,830.60, 14,944.08 and 6,113.97

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Solution

The fourth proportional to 10,830.60, 14,944.08 and 6,113.97 is: 8,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.60 : 14,944.08 = 6,113.97 : x
  2. Step 2: Convert to fraction form
    10,830.60/14,944.08 = 6,113.97/x
  3. Step 3: Cross multiply
    10,830.60x = 14,944.08 × 6,113.97
  4. Step 4: Simplify right side
    10,830.60x = 91,367,656.80
  5. Step 5: Solve for x
    x = 91,367,656.80/10,830.60
  6. Step 6: Final answer
    x = 8,436.07

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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.