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Finding the Fourth Proportional to 10,045.14, 13,862.64 and 6,065.46

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Solution

The fourth proportional to 10,045.14, 13,862.64 and 6,065.46 is: 8,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.14 : 13,862.64 = 6,065.46 : x
  2. Step 2: Convert to fraction form
    10,045.14/13,862.64 = 6,065.46/x
  3. Step 3: Cross multiply
    10,045.14x = 13,862.64 × 6,065.46
  4. Step 4: Simplify right side
    10,045.14x = 84,083,288.41
  5. Step 5: Solve for x
    x = 84,083,288.41/10,045.14
  6. Step 6: Final answer
    x = 8,370.54

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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.