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Finding the Fourth Proportional to 10,726.10, 14,802.02 and 6,010.42

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Solution

The fourth proportional to 10,726.10, 14,802.02 and 6,010.42 is: 8,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.10 : 14,802.02 = 6,010.42 : x
  2. Step 2: Convert to fraction form
    10,726.10/14,802.02 = 6,010.42/x
  3. Step 3: Cross multiply
    10,726.10x = 14,802.02 × 6,010.42
  4. Step 4: Simplify right side
    10,726.10x = 88,966,357.05
  5. Step 5: Solve for x
    x = 88,966,357.05/10,726.10
  6. Step 6: Final answer
    x = 8,294.38

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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.