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Finding the Fourth Proportional to 5,112.60, 7,668.90 and 1,415.16

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Solution

The fourth proportional to 5,112.60, 7,668.90 and 1,415.16 is: 2,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.60 : 7,668.90 = 1,415.16 : x
  2. Step 2: Convert to fraction form
    5,112.60/7,668.90 = 1,415.16/x
  3. Step 3: Cross multiply
    5,112.60x = 7,668.90 × 1,415.16
  4. Step 4: Simplify right side
    5,112.60x = 10,852,720.52
  5. Step 5: Solve for x
    x = 10,852,720.52/5,112.60
  6. Step 6: Final answer
    x = 2,122.74

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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.