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Finding the Fourth Proportional to 7,881.73, 11,787.73 and 7,010.35

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Solution

The fourth proportional to 7,881.73, 11,787.73 and 7,010.35 is: 10,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.73 : 11,787.73 = 7,010.35 : x
  2. Step 2: Convert to fraction form
    7,881.73/11,787.73 = 7,010.35/x
  3. Step 3: Cross multiply
    7,881.73x = 11,787.73 × 7,010.35
  4. Step 4: Simplify right side
    7,881.73x = 82,636,066.01
  5. Step 5: Solve for x
    x = 82,636,066.01/7,881.73
  6. Step 6: Final answer
    x = 10,484.51

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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.