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Finding the Fourth Proportional to 10,080.60, 13,912.91 and 5,830.93

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Solution

The fourth proportional to 10,080.60, 13,912.91 and 5,830.93 is: 8,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.60 : 13,912.91 = 5,830.93 : x
  2. Step 2: Convert to fraction form
    10,080.60/13,912.91 = 5,830.93/x
  3. Step 3: Cross multiply
    10,080.60x = 13,912.91 × 5,830.93
  4. Step 4: Simplify right side
    10,080.60x = 81,125,204.31
  5. Step 5: Solve for x
    x = 81,125,204.31/10,080.60
  6. Step 6: Final answer
    x = 8,047.66

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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.