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Finding the Fourth Proportional to 10,506.45, 14,498.71 and 5,726.44

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Solution

The fourth proportional to 10,506.45, 14,498.71 and 5,726.44 is: 7,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.45 : 14,498.71 = 5,726.44 : x
  2. Step 2: Convert to fraction form
    10,506.45/14,498.71 = 5,726.44/x
  3. Step 3: Cross multiply
    10,506.45x = 14,498.71 × 5,726.44
  4. Step 4: Simplify right side
    10,506.45x = 83,025,992.89
  5. Step 5: Solve for x
    x = 83,025,992.89/10,506.45
  6. Step 6: Final answer
    x = 7,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.