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Finding the Fourth Proportional to 7,509.86, 11,265.90 and 2,314.52

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Solution

The fourth proportional to 7,509.86, 11,265.90 and 2,314.52 is: 3,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.86 : 11,265.90 = 2,314.52 : x
  2. Step 2: Convert to fraction form
    7,509.86/11,265.90 = 2,314.52/x
  3. Step 3: Cross multiply
    7,509.86x = 11,265.90 × 2,314.52
  4. Step 4: Simplify right side
    7,509.86x = 26,075,150.87
  5. Step 5: Solve for x
    x = 26,075,150.87/7,509.86
  6. Step 6: Final answer
    x = 3,472.12

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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.