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Finding the Fourth Proportional to 10,159.94, 15,240.90 and 3,585.80

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Solution

The fourth proportional to 10,159.94, 15,240.90 and 3,585.80 is: 5,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.94 : 15,240.90 = 3,585.80 : x
  2. Step 2: Convert to fraction form
    10,159.94/15,240.90 = 3,585.80/x
  3. Step 3: Cross multiply
    10,159.94x = 15,240.90 × 3,585.80
  4. Step 4: Simplify right side
    10,159.94x = 54,650,819.22
  5. Step 5: Solve for x
    x = 54,650,819.22/10,159.94
  6. Step 6: Final answer
    x = 5,379.05

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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.