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Finding the Fourth Proportional to 10,071.84, 15,121.80 and 5,145.48

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Solution

The fourth proportional to 10,071.84, 15,121.80 and 5,145.48 is: 7,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.84 : 15,121.80 = 5,145.48 : x
  2. Step 2: Convert to fraction form
    10,071.84/15,121.80 = 5,145.48/x
  3. Step 3: Cross multiply
    10,071.84x = 15,121.80 × 5,145.48
  4. Step 4: Simplify right side
    10,071.84x = 77,808,919.46
  5. Step 5: Solve for x
    x = 77,808,919.46/10,071.84
  6. Step 6: Final answer
    x = 7,725.39

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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.