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Finding the Fourth Proportional to 10,490.62, 15,737.56 and 3,563.50

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Solution

The fourth proportional to 10,490.62, 15,737.56 and 3,563.50 is: 5,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.62 : 15,737.56 = 3,563.50 : x
  2. Step 2: Convert to fraction form
    10,490.62/15,737.56 = 3,563.50/x
  3. Step 3: Cross multiply
    10,490.62x = 15,737.56 × 3,563.50
  4. Step 4: Simplify right side
    10,490.62x = 56,080,795.06
  5. Step 5: Solve for x
    x = 56,080,795.06/10,490.62
  6. Step 6: Final answer
    x = 5,345.80

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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.