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Finding the Fourth Proportional to 10,448.77, 15,675.74 and 5,186.25

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Solution

The fourth proportional to 10,448.77, 15,675.74 and 5,186.25 is: 7,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.77 : 15,675.74 = 5,186.25 : x
  2. Step 2: Convert to fraction form
    10,448.77/15,675.74 = 5,186.25/x
  3. Step 3: Cross multiply
    10,448.77x = 15,675.74 × 5,186.25
  4. Step 4: Simplify right side
    10,448.77x = 81,298,228.20
  5. Step 5: Solve for x
    x = 81,298,228.20/10,448.77
  6. Step 6: Final answer
    x = 7,780.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.