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Finding the Fourth Proportional to 10,715.78, 16,074.14 and 3,320.40

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Solution

The fourth proportional to 10,715.78, 16,074.14 and 3,320.40 is: 4,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.78 : 16,074.14 = 3,320.40 : x
  2. Step 2: Convert to fraction form
    10,715.78/16,074.14 = 3,320.40/x
  3. Step 3: Cross multiply
    10,715.78x = 16,074.14 × 3,320.40
  4. Step 4: Simplify right side
    10,715.78x = 53,372,574.46
  5. Step 5: Solve for x
    x = 53,372,574.46/10,715.78
  6. Step 6: Final answer
    x = 4,980.75

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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.