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Finding the Fourth Proportional to 10,583.10, 15,874.65 and 5,334.30

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Solution

The fourth proportional to 10,583.10, 15,874.65 and 5,334.30 is: 8,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.10 : 15,874.65 = 5,334.30 : x
  2. Step 2: Convert to fraction form
    10,583.10/15,874.65 = 5,334.30/x
  3. Step 3: Cross multiply
    10,583.10x = 15,874.65 × 5,334.30
  4. Step 4: Simplify right side
    10,583.10x = 84,680,145.50
  5. Step 5: Solve for x
    x = 84,680,145.50/10,583.10
  6. Step 6: Final answer
    x = 8,001.45

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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.