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Finding the Fourth Proportional to 10,251.74, 15,365.66 and 4,705.68

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Solution

The fourth proportional to 10,251.74, 15,365.66 and 4,705.68 is: 7,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.74 : 15,365.66 = 4,705.68 : x
  2. Step 2: Convert to fraction form
    10,251.74/15,365.66 = 4,705.68/x
  3. Step 3: Cross multiply
    10,251.74x = 15,365.66 × 4,705.68
  4. Step 4: Simplify right side
    10,251.74x = 72,305,878.95
  5. Step 5: Solve for x
    x = 72,305,878.95/10,251.74
  6. Step 6: Final answer
    x = 7,053.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.