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Finding the Fourth Proportional to 10,074.56, 13,898.13 and 6,536.48

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Solution

The fourth proportional to 10,074.56, 13,898.13 and 6,536.48 is: 9,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.56 : 13,898.13 = 6,536.48 : x
  2. Step 2: Convert to fraction form
    10,074.56/13,898.13 = 6,536.48/x
  3. Step 3: Cross multiply
    10,074.56x = 13,898.13 × 6,536.48
  4. Step 4: Simplify right side
    10,074.56x = 90,844,848.78
  5. Step 5: Solve for x
    x = 90,844,848.78/10,074.56
  6. Step 6: Final answer
    x = 9,017.25

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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.