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Finding the Fourth Proportional to 10,678.16, 16,015.04 and 2,885.16

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Solution

The fourth proportional to 10,678.16, 16,015.04 and 2,885.16 is: 4,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.16 : 16,015.04 = 2,885.16 : x
  2. Step 2: Convert to fraction form
    10,678.16/16,015.04 = 2,885.16/x
  3. Step 3: Cross multiply
    10,678.16x = 16,015.04 × 2,885.16
  4. Step 4: Simplify right side
    10,678.16x = 46,205,952.81
  5. Step 5: Solve for x
    x = 46,205,952.81/10,678.16
  6. Step 6: Final answer
    x = 4,327.15

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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.