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Finding the Fourth Proportional to 10,726.48, 14,801.79 and 5,946.08

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Solution

The fourth proportional to 10,726.48, 14,801.79 and 5,946.08 is: 8,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.48 : 14,801.79 = 5,946.08 : x
  2. Step 2: Convert to fraction form
    10,726.48/14,801.79 = 5,946.08/x
  3. Step 3: Cross multiply
    10,726.48x = 14,801.79 × 5,946.08
  4. Step 4: Simplify right side
    10,726.48x = 88,012,627.48
  5. Step 5: Solve for x
    x = 88,012,627.48/10,726.48
  6. Step 6: Final answer
    x = 8,205.17

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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.