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Finding the Fourth Proportional to 10,038.59, 13,852.05 and 5,791.04

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Solution

The fourth proportional to 10,038.59, 13,852.05 and 5,791.04 is: 7,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.59 : 13,852.05 = 5,791.04 : x
  2. Step 2: Convert to fraction form
    10,038.59/13,852.05 = 5,791.04/x
  3. Step 3: Cross multiply
    10,038.59x = 13,852.05 × 5,791.04
  4. Step 4: Simplify right side
    10,038.59x = 80,217,775.63
  5. Step 5: Solve for x
    x = 80,217,775.63/10,038.59
  6. Step 6: Final answer
    x = 7,990.94

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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.