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Finding the Fourth Proportional to 10,549.13, 14,558.06 and 6,357.65

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Solution

The fourth proportional to 10,549.13, 14,558.06 and 6,357.65 is: 8,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.13 : 14,558.06 = 6,357.65 : x
  2. Step 2: Convert to fraction form
    10,549.13/14,558.06 = 6,357.65/x
  3. Step 3: Cross multiply
    10,549.13x = 14,558.06 × 6,357.65
  4. Step 4: Simplify right side
    10,549.13x = 92,554,993.26
  5. Step 5: Solve for x
    x = 92,554,993.26/10,549.13
  6. Step 6: Final answer
    x = 8,773.71

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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.