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Finding the Fourth Proportional to 10,865.06, 14,993.72 and 5,897.06

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Solution

The fourth proportional to 10,865.06, 14,993.72 and 5,897.06 is: 8,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.06 : 14,993.72 = 5,897.06 : x
  2. Step 2: Convert to fraction form
    10,865.06/14,993.72 = 5,897.06/x
  3. Step 3: Cross multiply
    10,865.06x = 14,993.72 × 5,897.06
  4. Step 4: Simplify right side
    10,865.06x = 88,418,866.46
  5. Step 5: Solve for x
    x = 88,418,866.46/10,865.06
  6. Step 6: Final answer
    x = 8,137.91

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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.