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Finding the Fourth Proportional to 10,521.78, 15,785.82 and 3,126.48

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Solution

The fourth proportional to 10,521.78, 15,785.82 and 3,126.48 is: 4,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.78 : 15,785.82 = 3,126.48 : x
  2. Step 2: Convert to fraction form
    10,521.78/15,785.82 = 3,126.48/x
  3. Step 3: Cross multiply
    10,521.78x = 15,785.82 × 3,126.48
  4. Step 4: Simplify right side
    10,521.78x = 49,354,050.51
  5. Step 5: Solve for x
    x = 49,354,050.51/10,521.78
  6. Step 6: Final answer
    x = 4,690.66

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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.