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Finding the Fourth Proportional to 10,768, 16,152 and 2,870.54

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Solution

The fourth proportional to 10,768, 16,152 and 2,870.54 is: 4,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768 : 16,152 = 2,870.54 : x
  2. Step 2: Convert to fraction form
    10,768/16,152 = 2,870.54/x
  3. Step 3: Cross multiply
    10,768x = 16,152 × 2,870.54
  4. Step 4: Simplify right side
    10,768x = 46,364,962.08
  5. Step 5: Solve for x
    x = 46,364,962.08/10,768
  6. Step 6: Final answer
    x = 4,305.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.