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Finding the Fourth Proportional to 11,653.04, 16,074.78 and 7,454

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Solution

The fourth proportional to 11,653.04, 16,074.78 and 7,454 is: 10,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.04 : 16,074.78 = 7,454 : x
  2. Step 2: Convert to fraction form
    11,653.04/16,074.78 = 7,454/x
  3. Step 3: Cross multiply
    11,653.04x = 16,074.78 × 7,454
  4. Step 4: Simplify right side
    11,653.04x = 119,821,410.12
  5. Step 5: Solve for x
    x = 119,821,410.12/11,653.04
  6. Step 6: Final answer
    x = 10,282.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.