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Finding the Fourth Proportional to 10,585.02, 15,871.85 and 3,562.70

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Solution

The fourth proportional to 10,585.02, 15,871.85 and 3,562.70 is: 5,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.02 : 15,871.85 = 3,562.70 : x
  2. Step 2: Convert to fraction form
    10,585.02/15,871.85 = 3,562.70/x
  3. Step 3: Cross multiply
    10,585.02x = 15,871.85 × 3,562.70
  4. Step 4: Simplify right side
    10,585.02x = 56,546,665.50
  5. Step 5: Solve for x
    x = 56,546,665.50/10,585.02
  6. Step 6: Final answer
    x = 5,342.14

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Why These Related Problems?

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