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Finding the Fourth Proportional to 10,071.82, 15,106.50 and 5,145.01

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Solution

The fourth proportional to 10,071.82, 15,106.50 and 5,145.01 is: 7,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.82 : 15,106.50 = 5,145.01 : x
  2. Step 2: Convert to fraction form
    10,071.82/15,106.50 = 5,145.01/x
  3. Step 3: Cross multiply
    10,071.82x = 15,106.50 × 5,145.01
  4. Step 4: Simplify right side
    10,071.82x = 77,723,093.57
  5. Step 5: Solve for x
    x = 77,723,093.57/10,071.82
  6. Step 6: Final answer
    x = 7,716.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.