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Finding the Fourth Proportional to 10,071.67, 13,898.92 and 5,595.30

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Solution

The fourth proportional to 10,071.67, 13,898.92 and 5,595.30 is: 7,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.67 : 13,898.92 = 5,595.30 : x
  2. Step 2: Convert to fraction form
    10,071.67/13,898.92 = 5,595.30/x
  3. Step 3: Cross multiply
    10,071.67x = 13,898.92 × 5,595.30
  4. Step 4: Simplify right side
    10,071.67x = 77,768,627.08
  5. Step 5: Solve for x
    x = 77,768,627.08/10,071.67
  6. Step 6: Final answer
    x = 7,721.52

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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.