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Finding the Fourth Proportional to 10,074.06, 13,907.16 and 7,726.68

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Solution

The fourth proportional to 10,074.06, 13,907.16 and 7,726.68 is: 10,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.06 : 13,907.16 = 7,726.68 : x
  2. Step 2: Convert to fraction form
    10,074.06/13,907.16 = 7,726.68/x
  3. Step 3: Cross multiply
    10,074.06x = 13,907.16 × 7,726.68
  4. Step 4: Simplify right side
    10,074.06x = 107,456,175.03
  5. Step 5: Solve for x
    x = 107,456,175.03/10,074.06
  6. Step 6: Final answer
    x = 10,666.62

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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.