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Finding the Fourth Proportional to 10,504.87, 15,748.98 and 5,237.01

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Solution

The fourth proportional to 10,504.87, 15,748.98 and 5,237.01 is: 7,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.87 : 15,748.98 = 5,237.01 : x
  2. Step 2: Convert to fraction form
    10,504.87/15,748.98 = 5,237.01/x
  3. Step 3: Cross multiply
    10,504.87x = 15,748.98 × 5,237.01
  4. Step 4: Simplify right side
    10,504.87x = 82,477,565.75
  5. Step 5: Solve for x
    x = 82,477,565.75/10,504.87
  6. Step 6: Final answer
    x = 7,851.36

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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.