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Finding the Fourth Proportional to 10,071.12, 13,897.83 and 5,595

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Solution

The fourth proportional to 10,071.12, 13,897.83 and 5,595 is: 7,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.12 : 13,897.83 = 5,595 : x
  2. Step 2: Convert to fraction form
    10,071.12/13,897.83 = 5,595/x
  3. Step 3: Cross multiply
    10,071.12x = 13,897.83 × 5,595
  4. Step 4: Simplify right side
    10,071.12x = 77,758,358.85
  5. Step 5: Solve for x
    x = 77,758,358.85/10,071.12
  6. Step 6: Final answer
    x = 7,720.92

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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.