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Finding the Fourth Proportional to 10,427.89, 14,386.97 and 5,948.49

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Solution

The fourth proportional to 10,427.89, 14,386.97 and 5,948.49 is: 8,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.89 : 14,386.97 = 5,948.49 : x
  2. Step 2: Convert to fraction form
    10,427.89/14,386.97 = 5,948.49/x
  3. Step 3: Cross multiply
    10,427.89x = 14,386.97 × 5,948.49
  4. Step 4: Simplify right side
    10,427.89x = 85,580,701.61
  5. Step 5: Solve for x
    x = 85,580,701.61/10,427.89
  6. Step 6: Final answer
    x = 8,206.91

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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.