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Finding the Fourth Proportional to 10,670.94, 14,726.25 and 5,891.40

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Solution

The fourth proportional to 10,670.94, 14,726.25 and 5,891.40 is: 8,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.94 : 14,726.25 = 5,891.40 : x
  2. Step 2: Convert to fraction form
    10,670.94/14,726.25 = 5,891.40/x
  3. Step 3: Cross multiply
    10,670.94x = 14,726.25 × 5,891.40
  4. Step 4: Simplify right side
    10,670.94x = 86,758,229.25
  5. Step 5: Solve for x
    x = 86,758,229.25/10,670.94
  6. Step 6: Final answer
    x = 8,130.33

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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.