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Finding the Fourth Proportional to 10,506.66, 14,494.10 and 6,726.80

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Solution

The fourth proportional to 10,506.66, 14,494.10 and 6,726.80 is: 9,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.66 : 14,494.10 = 6,726.80 : x
  2. Step 2: Convert to fraction form
    10,506.66/14,494.10 = 6,726.80/x
  3. Step 3: Cross multiply
    10,506.66x = 14,494.10 × 6,726.80
  4. Step 4: Simplify right side
    10,506.66x = 97,498,911.88
  5. Step 5: Solve for x
    x = 97,498,911.88/10,506.66
  6. Step 6: Final answer
    x = 9,279.72

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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.