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Finding the Fourth Proportional to 10,549.59, 14,558.41 and 6,071.71

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Solution

The fourth proportional to 10,549.59, 14,558.41 and 6,071.71 is: 8,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.59 : 14,558.41 = 6,071.71 : x
  2. Step 2: Convert to fraction form
    10,549.59/14,558.41 = 6,071.71/x
  3. Step 3: Cross multiply
    10,549.59x = 14,558.41 × 6,071.71
  4. Step 4: Simplify right side
    10,549.59x = 88,394,407.19
  5. Step 5: Solve for x
    x = 88,394,407.19/10,549.59
  6. Step 6: Final answer
    x = 8,378.94

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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.