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Finding the Fourth Proportional to 10,678.52, 16,018.04 and 3,283.05

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Solution

The fourth proportional to 10,678.52, 16,018.04 and 3,283.05 is: 4,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.52 : 16,018.04 = 3,283.05 : x
  2. Step 2: Convert to fraction form
    10,678.52/16,018.04 = 3,283.05/x
  3. Step 3: Cross multiply
    10,678.52x = 16,018.04 × 3,283.05
  4. Step 4: Simplify right side
    10,678.52x = 52,588,094.50
  5. Step 5: Solve for x
    x = 52,588,094.50/10,678.52
  6. Step 6: Final answer
    x = 4,924.66

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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.