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Finding the Fourth Proportional to 10,678.65, 16,018.25 and 2,887.40

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Solution

The fourth proportional to 10,678.65, 16,018.25 and 2,887.40 is: 4,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.65 : 16,018.25 = 2,887.40 : x
  2. Step 2: Convert to fraction form
    10,678.65/16,018.25 = 2,887.40/x
  3. Step 3: Cross multiply
    10,678.65x = 16,018.25 × 2,887.40
  4. Step 4: Simplify right side
    10,678.65x = 46,251,000.52
  5. Step 5: Solve for x
    x = 46,251,000.52/10,678.65
  6. Step 6: Final answer
    x = 4,331.17

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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.