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Finding the Fourth Proportional to 10,030.25, 13,841.97 and 5,493.13

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Solution

The fourth proportional to 10,030.25, 13,841.97 and 5,493.13 is: 7,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.25 : 13,841.97 = 5,493.13 : x
  2. Step 2: Convert to fraction form
    10,030.25/13,841.97 = 5,493.13/x
  3. Step 3: Cross multiply
    10,030.25x = 13,841.97 × 5,493.13
  4. Step 4: Simplify right side
    10,030.25x = 76,035,685.46
  5. Step 5: Solve for x
    x = 76,035,685.46/10,030.25
  6. Step 6: Final answer
    x = 7,580.64

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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.