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Finding the Fourth Proportional to 7,508.55, 11,259 and 2,509.13

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Solution

The fourth proportional to 7,508.55, 11,259 and 2,509.13 is: 3,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.55 : 11,259 = 2,509.13 : x
  2. Step 2: Convert to fraction form
    7,508.55/11,259 = 2,509.13/x
  3. Step 3: Cross multiply
    7,508.55x = 11,259 × 2,509.13
  4. Step 4: Simplify right side
    7,508.55x = 28,250,238.38
  5. Step 5: Solve for x
    x = 28,250,238.38/7,508.55
  6. Step 6: Final answer
    x = 3,762.41

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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.