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Finding the Fourth Proportional to 10,006.18, 14,995.85 and 7,787.69

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Solution

The fourth proportional to 10,006.18, 14,995.85 and 7,787.69 is: 11,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.18 : 14,995.85 = 7,787.69 : x
  2. Step 2: Convert to fraction form
    10,006.18/14,995.85 = 7,787.69/x
  3. Step 3: Cross multiply
    10,006.18x = 14,995.85 × 7,787.69
  4. Step 4: Simplify right side
    10,006.18x = 116,782,917.17
  5. Step 5: Solve for x
    x = 116,782,917.17/10,006.18
  6. Step 6: Final answer
    x = 11,671.08

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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.