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Finding the Fourth Proportional to 10,878.37, 16,314.10 and 6,712.14

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Solution

The fourth proportional to 10,878.37, 16,314.10 and 6,712.14 is: 10,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.37 : 16,314.10 = 6,712.14 : x
  2. Step 2: Convert to fraction form
    10,878.37/16,314.10 = 6,712.14/x
  3. Step 3: Cross multiply
    10,878.37x = 16,314.10 × 6,712.14
  4. Step 4: Simplify right side
    10,878.37x = 109,502,523.17
  5. Step 5: Solve for x
    x = 109,502,523.17/10,878.37
  6. Step 6: Final answer
    x = 10,066.08

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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.