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Finding the Fourth Proportional to 10,483.02, 15,719.10 and 3,086.52

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Solution

The fourth proportional to 10,483.02, 15,719.10 and 3,086.52 is: 4,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.02 : 15,719.10 = 3,086.52 : x
  2. Step 2: Convert to fraction form
    10,483.02/15,719.10 = 3,086.52/x
  3. Step 3: Cross multiply
    10,483.02x = 15,719.10 × 3,086.52
  4. Step 4: Simplify right side
    10,483.02x = 48,517,316.53
  5. Step 5: Solve for x
    x = 48,517,316.53/10,483.02
  6. Step 6: Final answer
    x = 4,628.18

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Why These Related Problems?

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