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Finding the Fourth Proportional to 10,071.38, 13,898.93 and 5,595.11

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Solution

The fourth proportional to 10,071.38, 13,898.93 and 5,595.11 is: 7,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.38 : 13,898.93 = 5,595.11 : x
  2. Step 2: Convert to fraction form
    10,071.38/13,898.93 = 5,595.11/x
  3. Step 3: Cross multiply
    10,071.38x = 13,898.93 × 5,595.11
  4. Step 4: Simplify right side
    10,071.38x = 77,766,042.23
  5. Step 5: Solve for x
    x = 77,766,042.23/10,071.38
  6. Step 6: Final answer
    x = 7,721.49

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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.