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Finding the Fourth Proportional to 7,509.65, 11,267.15 and 3,349.28

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Solution

The fourth proportional to 7,509.65, 11,267.15 and 3,349.28 is: 5,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.65 : 11,267.15 = 3,349.28 : x
  2. Step 2: Convert to fraction form
    7,509.65/11,267.15 = 3,349.28/x
  3. Step 3: Cross multiply
    7,509.65x = 11,267.15 × 3,349.28
  4. Step 4: Simplify right side
    7,509.65x = 37,736,851.57
  5. Step 5: Solve for x
    x = 37,736,851.57/7,509.65
  6. Step 6: Final answer
    x = 5,025.12

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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.