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Finding the Fourth Proportional to 10,039.01, 13,853.43 and 5,562.95

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Solution

The fourth proportional to 10,039.01, 13,853.43 and 5,562.95 is: 7,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.01 : 13,853.43 = 5,562.95 : x
  2. Step 2: Convert to fraction form
    10,039.01/13,853.43 = 5,562.95/x
  3. Step 3: Cross multiply
    10,039.01x = 13,853.43 × 5,562.95
  4. Step 4: Simplify right side
    10,039.01x = 77,065,869.15
  5. Step 5: Solve for x
    x = 77,065,869.15/10,039.01
  6. Step 6: Final answer
    x = 7,676.64

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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.