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Finding the Fourth Proportional to 10,095.84, 15,143.92 and 5,151.52

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Solution

The fourth proportional to 10,095.84, 15,143.92 and 5,151.52 is: 7,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.84 : 15,143.92 = 5,151.52 : x
  2. Step 2: Convert to fraction form
    10,095.84/15,143.92 = 5,151.52/x
  3. Step 3: Cross multiply
    10,095.84x = 15,143.92 × 5,151.52
  4. Step 4: Simplify right side
    10,095.84x = 78,014,206.76
  5. Step 5: Solve for x
    x = 78,014,206.76/10,095.84
  6. Step 6: Final answer
    x = 7,727.36

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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.