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Finding the Fourth Proportional to 7,140.26, 10,698.87 and 4,398.50

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Solution

The fourth proportional to 7,140.26, 10,698.87 and 4,398.50 is: 6,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.26 : 10,698.87 = 4,398.50 : x
  2. Step 2: Convert to fraction form
    7,140.26/10,698.87 = 4,398.50/x
  3. Step 3: Cross multiply
    7,140.26x = 10,698.87 × 4,398.50
  4. Step 4: Simplify right side
    7,140.26x = 47,058,979.70
  5. Step 5: Solve for x
    x = 47,058,979.70/7,140.26
  6. Step 6: Final answer
    x = 6,590.65

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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.