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Finding the Fourth Proportional to 7,509.68, 10,367.28 and 4,716.80

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Solution

The fourth proportional to 7,509.68, 10,367.28 and 4,716.80 is: 6,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.68 : 10,367.28 = 4,716.80 : x
  2. Step 2: Convert to fraction form
    7,509.68/10,367.28 = 4,716.80/x
  3. Step 3: Cross multiply
    7,509.68x = 10,367.28 × 4,716.80
  4. Step 4: Simplify right side
    7,509.68x = 48,900,386.30
  5. Step 5: Solve for x
    x = 48,900,386.30/7,509.68
  6. Step 6: Final answer
    x = 6,511.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.