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Finding the Fourth Proportional to 10,865.13, 14,994.05 and 5,897.13

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Solution

The fourth proportional to 10,865.13, 14,994.05 and 5,897.13 is: 8,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.13 : 14,994.05 = 5,897.13 : x
  2. Step 2: Convert to fraction form
    10,865.13/14,994.05 = 5,897.13/x
  3. Step 3: Cross multiply
    10,865.13x = 14,994.05 × 5,897.13
  4. Step 4: Simplify right side
    10,865.13x = 88,421,862.08
  5. Step 5: Solve for x
    x = 88,421,862.08/10,865.13
  6. Step 6: Final answer
    x = 8,138.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.