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Finding the Fourth Proportional to 10,066.44, 13,895.10 and 5,878.20

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Solution

The fourth proportional to 10,066.44, 13,895.10 and 5,878.20 is: 8,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.44 : 13,895.10 = 5,878.20 : x
  2. Step 2: Convert to fraction form
    10,066.44/13,895.10 = 5,878.20/x
  3. Step 3: Cross multiply
    10,066.44x = 13,895.10 × 5,878.20
  4. Step 4: Simplify right side
    10,066.44x = 81,678,176.82
  5. Step 5: Solve for x
    x = 81,678,176.82/10,066.44
  6. Step 6: Final answer
    x = 8,113.91

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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.