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Finding the Fourth Proportional to 28,257.84, 42,381.96 and 7,483.44

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Solution

The fourth proportional to 28,257.84, 42,381.96 and 7,483.44 is: 11,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.84 : 42,381.96 = 7,483.44 : x
  2. Step 2: Convert to fraction form
    28,257.84/42,381.96 = 7,483.44/x
  3. Step 3: Cross multiply
    28,257.84x = 42,381.96 × 7,483.44
  4. Step 4: Simplify right side
    28,257.84x = 317,162,854.74
  5. Step 5: Solve for x
    x = 317,162,854.74/28,257.84
  6. Step 6: Final answer
    x = 11,223.89

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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.