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Finding the Fourth Proportional to 10,726.80, 14,810.22 and 6,699.78

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Solution

The fourth proportional to 10,726.80, 14,810.22 and 6,699.78 is: 9,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.80 : 14,810.22 = 6,699.78 : x
  2. Step 2: Convert to fraction form
    10,726.80/14,810.22 = 6,699.78/x
  3. Step 3: Cross multiply
    10,726.80x = 14,810.22 × 6,699.78
  4. Step 4: Simplify right side
    10,726.80x = 99,225,215.75
  5. Step 5: Solve for x
    x = 99,225,215.75/10,726.80
  6. Step 6: Final answer
    x = 9,250.22

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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.