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Finding the Fourth Proportional to 10,581.62, 14,595.99 and 6,809.72

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Solution

The fourth proportional to 10,581.62, 14,595.99 and 6,809.72 is: 9,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.62 : 14,595.99 = 6,809.72 : x
  2. Step 2: Convert to fraction form
    10,581.62/14,595.99 = 6,809.72/x
  3. Step 3: Cross multiply
    10,581.62x = 14,595.99 × 6,809.72
  4. Step 4: Simplify right side
    10,581.62x = 99,394,605.02
  5. Step 5: Solve for x
    x = 99,394,605.02/10,581.62
  6. Step 6: Final answer
    x = 9,393.14

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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.