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Finding the Fourth Proportional to 10,507.50, 15,761.70 and 3,582

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Solution

The fourth proportional to 10,507.50, 15,761.70 and 3,582 is: 5,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.50 : 15,761.70 = 3,582 : x
  2. Step 2: Convert to fraction form
    10,507.50/15,761.70 = 3,582/x
  3. Step 3: Cross multiply
    10,507.50x = 15,761.70 × 3,582
  4. Step 4: Simplify right side
    10,507.50x = 56,458,409.40
  5. Step 5: Solve for x
    x = 56,458,409.40/10,507.50
  6. Step 6: Final answer
    x = 5,373.15

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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.