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Finding the Fourth Proportional to 7,144.80, 10,698 and 5,823.15

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Solution

The fourth proportional to 7,144.80, 10,698 and 5,823.15 is: 8,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.80 : 10,698 = 5,823.15 : x
  2. Step 2: Convert to fraction form
    7,144.80/10,698 = 5,823.15/x
  3. Step 3: Cross multiply
    7,144.80x = 10,698 × 5,823.15
  4. Step 4: Simplify right side
    7,144.80x = 62,296,058.70
  5. Step 5: Solve for x
    x = 62,296,058.70/7,144.80
  6. Step 6: Final answer
    x = 8,719.08

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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.