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Finding the Fourth Proportional to 10,159.58, 15,233.63 and 4,744.05

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Solution

The fourth proportional to 10,159.58, 15,233.63 and 4,744.05 is: 7,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.58 : 15,233.63 = 4,744.05 : x
  2. Step 2: Convert to fraction form
    10,159.58/15,233.63 = 4,744.05/x
  3. Step 3: Cross multiply
    10,159.58x = 15,233.63 × 4,744.05
  4. Step 4: Simplify right side
    10,159.58x = 72,269,078.68
  5. Step 5: Solve for x
    x = 72,269,078.68/10,159.58
  6. Step 6: Final answer
    x = 7,113.40

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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.