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Finding the Fourth Proportional to 7,877.84, 11,838.47 and 4,182.84

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Solution

The fourth proportional to 7,877.84, 11,838.47 and 4,182.84 is: 6,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.84 : 11,838.47 = 4,182.84 : x
  2. Step 2: Convert to fraction form
    7,877.84/11,838.47 = 4,182.84/x
  3. Step 3: Cross multiply
    7,877.84x = 11,838.47 × 4,182.84
  4. Step 4: Simplify right side
    7,877.84x = 49,518,404.94
  5. Step 5: Solve for x
    x = 49,518,404.94/7,877.84
  6. Step 6: Final answer
    x = 6,285.79

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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.