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Finding the Fourth Proportional to 10,048.16, 15,072.80 and 2,652.80

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Solution

The fourth proportional to 10,048.16, 15,072.80 and 2,652.80 is: 3,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.16 : 15,072.80 = 2,652.80 : x
  2. Step 2: Convert to fraction form
    10,048.16/15,072.80 = 2,652.80/x
  3. Step 3: Cross multiply
    10,048.16x = 15,072.80 × 2,652.80
  4. Step 4: Simplify right side
    10,048.16x = 39,985,123.84
  5. Step 5: Solve for x
    x = 39,985,123.84/10,048.16
  6. Step 6: Final answer
    x = 3,979.35

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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.