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Finding the Fourth Proportional to 28,538.56, 42,807.78 and 7,762

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Solution

The fourth proportional to 28,538.56, 42,807.78 and 7,762 is: 11,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.56 : 42,807.78 = 7,762 : x
  2. Step 2: Convert to fraction form
    28,538.56/42,807.78 = 7,762/x
  3. Step 3: Cross multiply
    28,538.56x = 42,807.78 × 7,762
  4. Step 4: Simplify right side
    28,538.56x = 332,273,988.36
  5. Step 5: Solve for x
    x = 332,273,988.36/28,538.56
  6. Step 6: Final answer
    x = 11,642.98

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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.