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Finding the Fourth Proportional to 10,504.99, 14,494.34 and 5,966.66

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Solution

The fourth proportional to 10,504.99, 14,494.34 and 5,966.66 is: 8,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.99 : 14,494.34 = 5,966.66 : x
  2. Step 2: Convert to fraction form
    10,504.99/14,494.34 = 5,966.66/x
  3. Step 3: Cross multiply
    10,504.99x = 14,494.34 × 5,966.66
  4. Step 4: Simplify right side
    10,504.99x = 86,482,849.86
  5. Step 5: Solve for x
    x = 86,482,849.86/10,504.99
  6. Step 6: Final answer
    x = 8,232.55

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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.