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Finding the Fourth Proportional to 7,512.65, 10,367.13 and 4,109.60

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Solution

The fourth proportional to 7,512.65, 10,367.13 and 4,109.60 is: 5,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.65 : 10,367.13 = 4,109.60 : x
  2. Step 2: Convert to fraction form
    7,512.65/10,367.13 = 4,109.60/x
  3. Step 3: Cross multiply
    7,512.65x = 10,367.13 × 4,109.60
  4. Step 4: Simplify right side
    7,512.65x = 42,604,749.63
  5. Step 5: Solve for x
    x = 42,604,749.63/7,512.65
  6. Step 6: Final answer
    x = 5,671.07

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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.