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Finding the Fourth Proportional to 10,759.48, 16,121 and 6,590.76

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Solution

The fourth proportional to 10,759.48, 16,121 and 6,590.76 is: 9,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.48 : 16,121 = 6,590.76 : x
  2. Step 2: Convert to fraction form
    10,759.48/16,121 = 6,590.76/x
  3. Step 3: Cross multiply
    10,759.48x = 16,121 × 6,590.76
  4. Step 4: Simplify right side
    10,759.48x = 106,249,641.96
  5. Step 5: Solve for x
    x = 106,249,641.96/10,759.48
  6. Step 6: Final answer
    x = 9,874.98

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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.