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Finding the Fourth Proportional to 10,403.20, 15,604.76 and 7,499.96

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Solution

The fourth proportional to 10,403.20, 15,604.76 and 7,499.96 is: 11,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.20 : 15,604.76 = 7,499.96 : x
  2. Step 2: Convert to fraction form
    10,403.20/15,604.76 = 7,499.96/x
  3. Step 3: Cross multiply
    10,403.20x = 15,604.76 × 7,499.96
  4. Step 4: Simplify right side
    10,403.20x = 117,035,075.81
  5. Step 5: Solve for x
    x = 117,035,075.81/10,403.20
  6. Step 6: Final answer
    x = 11,249.91

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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.