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Finding the Fourth Proportional to 7,509.71, 11,271.25 and 4,002.62

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Solution

The fourth proportional to 7,509.71, 11,271.25 and 4,002.62 is: 6,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.71 : 11,271.25 = 4,002.62 : x
  2. Step 2: Convert to fraction form
    7,509.71/11,271.25 = 4,002.62/x
  3. Step 3: Cross multiply
    7,509.71x = 11,271.25 × 4,002.62
  4. Step 4: Simplify right side
    7,509.71x = 45,114,479.32
  5. Step 5: Solve for x
    x = 45,114,479.32/7,509.71
  6. Step 6: Final answer
    x = 6,007.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.