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Finding the Fourth Proportional to 10,144.84, 13,977.59 and 7,581.86

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Solution

The fourth proportional to 10,144.84, 13,977.59 and 7,581.86 is: 10,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.84 : 13,977.59 = 7,581.86 : x
  2. Step 2: Convert to fraction form
    10,144.84/13,977.59 = 7,581.86/x
  3. Step 3: Cross multiply
    10,144.84x = 13,977.59 × 7,581.86
  4. Step 4: Simplify right side
    10,144.84x = 105,976,130.52
  5. Step 5: Solve for x
    x = 105,976,130.52/10,144.84
  6. Step 6: Final answer
    x = 10,446.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.