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Finding the Fourth Proportional to 10,073.53, 13,897.49 and 5,823.81

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Solution

The fourth proportional to 10,073.53, 13,897.49 and 5,823.81 is: 8,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.53 : 13,897.49 = 5,823.81 : x
  2. Step 2: Convert to fraction form
    10,073.53/13,897.49 = 5,823.81/x
  3. Step 3: Cross multiply
    10,073.53x = 13,897.49 × 5,823.81
  4. Step 4: Simplify right side
    10,073.53x = 80,936,242.63
  5. Step 5: Solve for x
    x = 80,936,242.63/10,073.53
  6. Step 6: Final answer
    x = 8,034.55

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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.