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Finding the Fourth Proportional to 10,045.64, 13,863.34 and 6,065.98

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Solution

The fourth proportional to 10,045.64, 13,863.34 and 6,065.98 is: 8,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.64 : 13,863.34 = 6,065.98 : x
  2. Step 2: Convert to fraction form
    10,045.64/13,863.34 = 6,065.98/x
  3. Step 3: Cross multiply
    10,045.64x = 13,863.34 × 6,065.98
  4. Step 4: Simplify right side
    10,045.64x = 84,094,743.17
  5. Step 5: Solve for x
    x = 84,094,743.17/10,045.64
  6. Step 6: Final answer
    x = 8,371.27

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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.