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Finding the Fourth Proportional to 7,415.60, 11,107.20 and 5,212.40

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Solution

The fourth proportional to 7,415.60, 11,107.20 and 5,212.40 is: 7,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.60 : 11,107.20 = 5,212.40 : x
  2. Step 2: Convert to fraction form
    7,415.60/11,107.20 = 5,212.40/x
  3. Step 3: Cross multiply
    7,415.60x = 11,107.20 × 5,212.40
  4. Step 4: Simplify right side
    7,415.60x = 57,895,169.28
  5. Step 5: Solve for x
    x = 57,895,169.28/7,415.60
  6. Step 6: Final answer
    x = 7,807.21

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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.