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Finding the Fourth Proportional to 10,071.58, 15,114.94 and 5,145.34

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Solution

The fourth proportional to 10,071.58, 15,114.94 and 5,145.34 is: 7,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.58 : 15,114.94 = 5,145.34 : x
  2. Step 2: Convert to fraction form
    10,071.58/15,114.94 = 5,145.34/x
  3. Step 3: Cross multiply
    10,071.58x = 15,114.94 × 5,145.34
  4. Step 4: Simplify right side
    10,071.58x = 77,771,505.38
  5. Step 5: Solve for x
    x = 77,771,505.38/10,071.58
  6. Step 6: Final answer
    x = 7,721.88

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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.