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Finding the Fourth Proportional to 10,710.78, 16,066.98 and 3,316.02

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Solution

The fourth proportional to 10,710.78, 16,066.98 and 3,316.02 is: 4,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.78 : 16,066.98 = 3,316.02 : x
  2. Step 2: Convert to fraction form
    10,710.78/16,066.98 = 3,316.02/x
  3. Step 3: Cross multiply
    10,710.78x = 16,066.98 × 3,316.02
  4. Step 4: Simplify right side
    10,710.78x = 53,278,427.02
  5. Step 5: Solve for x
    x = 53,278,427.02/10,710.78
  6. Step 6: Final answer
    x = 4,974.28

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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.