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Finding the Fourth Proportional to 7,319.52, 10,998 and 4,243.68

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Solution

The fourth proportional to 7,319.52, 10,998 and 4,243.68 is: 6,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.52 : 10,998 = 4,243.68 : x
  2. Step 2: Convert to fraction form
    7,319.52/10,998 = 4,243.68/x
  3. Step 3: Cross multiply
    7,319.52x = 10,998 × 4,243.68
  4. Step 4: Simplify right side
    7,319.52x = 46,671,992.64
  5. Step 5: Solve for x
    x = 46,671,992.64/7,319.52
  6. Step 6: Final answer
    x = 6,376.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.