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Finding the Fourth Proportional to 10,502.02, 15,753.24 and 3,106.47

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Solution

The fourth proportional to 10,502.02, 15,753.24 and 3,106.47 is: 4,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.02 : 15,753.24 = 3,106.47 : x
  2. Step 2: Convert to fraction form
    10,502.02/15,753.24 = 3,106.47/x
  3. Step 3: Cross multiply
    10,502.02x = 15,753.24 × 3,106.47
  4. Step 4: Simplify right side
    10,502.02x = 48,937,026.54
  5. Step 5: Solve for x
    x = 48,937,026.54/10,502.02
  6. Step 6: Final answer
    x = 4,659.77

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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.