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Finding the Fourth Proportional to 10,726.43, 14,802.41 and 6,010.67

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Solution

The fourth proportional to 10,726.43, 14,802.41 and 6,010.67 is: 8,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.43 : 14,802.41 = 6,010.67 : x
  2. Step 2: Convert to fraction form
    10,726.43/14,802.41 = 6,010.67/x
  3. Step 3: Cross multiply
    10,726.43x = 14,802.41 × 6,010.67
  4. Step 4: Simplify right side
    10,726.43x = 88,972,453.75
  5. Step 5: Solve for x
    x = 88,972,453.75/10,726.43
  6. Step 6: Final answer
    x = 8,294.70

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