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Finding the Fourth Proportional to 12,537.14, 18,808.08 and 5,041.28

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Solution

The fourth proportional to 12,537.14, 18,808.08 and 5,041.28 is: 7,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.14 : 18,808.08 = 5,041.28 : x
  2. Step 2: Convert to fraction form
    12,537.14/18,808.08 = 5,041.28/x
  3. Step 3: Cross multiply
    12,537.14x = 18,808.08 × 5,041.28
  4. Step 4: Simplify right side
    12,537.14x = 94,816,703.50
  5. Step 5: Solve for x
    x = 94,816,703.50/12,537.14
  6. Step 6: Final answer
    x = 7,562.87

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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.