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Finding the Fourth Proportional to 10,650.30, 15,963.45 and 5,106.30

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Solution

The fourth proportional to 10,650.30, 15,963.45 and 5,106.30 is: 7,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.30 : 15,963.45 = 5,106.30 : x
  2. Step 2: Convert to fraction form
    10,650.30/15,963.45 = 5,106.30/x
  3. Step 3: Cross multiply
    10,650.30x = 15,963.45 × 5,106.30
  4. Step 4: Simplify right side
    10,650.30x = 81,514,164.74
  5. Step 5: Solve for x
    x = 81,514,164.74/10,650.30
  6. Step 6: Final answer
    x = 7,653.70

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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.