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Finding the Fourth Proportional to 28,535.25, 42,803.01 and 7,758.75

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Solution

The fourth proportional to 28,535.25, 42,803.01 and 7,758.75 is: 11,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,535.25 : 42,803.01 = 7,758.75 : x
  2. Step 2: Convert to fraction form
    28,535.25/42,803.01 = 7,758.75/x
  3. Step 3: Cross multiply
    28,535.25x = 42,803.01 × 7,758.75
  4. Step 4: Simplify right side
    28,535.25x = 332,097,853.84
  5. Step 5: Solve for x
    x = 332,097,853.84/28,535.25
  6. Step 6: Final answer
    x = 11,638.16

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