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Finding the Fourth Proportional to 10,865.72, 14,994.70 and 5,897.72

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Solution

The fourth proportional to 10,865.72, 14,994.70 and 5,897.72 is: 8,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.72 : 14,994.70 = 5,897.72 : x
  2. Step 2: Convert to fraction form
    10,865.72/14,994.70 = 5,897.72/x
  3. Step 3: Cross multiply
    10,865.72x = 14,994.70 × 5,897.72
  4. Step 4: Simplify right side
    10,865.72x = 88,434,542.08
  5. Step 5: Solve for x
    x = 88,434,542.08/10,865.72
  6. Step 6: Final answer
    x = 8,138.86

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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.