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Finding the Fourth Proportional to 10,074.72, 13,902.84 and 5,598.68

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Solution

The fourth proportional to 10,074.72, 13,902.84 and 5,598.68 is: 7,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.72 : 13,902.84 = 5,598.68 : x
  2. Step 2: Convert to fraction form
    10,074.72/13,902.84 = 5,598.68/x
  3. Step 3: Cross multiply
    10,074.72x = 13,902.84 × 5,598.68
  4. Step 4: Simplify right side
    10,074.72x = 77,837,552.25
  5. Step 5: Solve for x
    x = 77,837,552.25/10,074.72
  6. Step 6: Final answer
    x = 7,726.03

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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.