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Finding the Fourth Proportional to 10,159.74, 15,245.06 and 3,924.05

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Solution

The fourth proportional to 10,159.74, 15,245.06 and 3,924.05 is: 5,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.74 : 15,245.06 = 3,924.05 : x
  2. Step 2: Convert to fraction form
    10,159.74/15,245.06 = 3,924.05/x
  3. Step 3: Cross multiply
    10,159.74x = 15,245.06 × 3,924.05
  4. Step 4: Simplify right side
    10,159.74x = 59,822,281.85
  5. Step 5: Solve for x
    x = 59,822,281.85/10,159.74
  6. Step 6: Final answer
    x = 5,888.17

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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.