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Finding the Fourth Proportional to 7,140.80, 10,698.40 and 4,401.60

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Solution

The fourth proportional to 7,140.80, 10,698.40 and 4,401.60 is: 6,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.80 : 10,698.40 = 4,401.60 : x
  2. Step 2: Convert to fraction form
    7,140.80/10,698.40 = 4,401.60/x
  3. Step 3: Cross multiply
    7,140.80x = 10,698.40 × 4,401.60
  4. Step 4: Simplify right side
    7,140.80x = 47,090,077.44
  5. Step 5: Solve for x
    x = 47,090,077.44/7,140.80
  6. Step 6: Final answer
    x = 6,594.51

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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.