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Finding the Fourth Proportional to 7,872.84, 11,802.19 and 7,188.03

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Solution

The fourth proportional to 7,872.84, 11,802.19 and 7,188.03 is: 10,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.84 : 11,802.19 = 7,188.03 : x
  2. Step 2: Convert to fraction form
    7,872.84/11,802.19 = 7,188.03/x
  3. Step 3: Cross multiply
    7,872.84x = 11,802.19 × 7,188.03
  4. Step 4: Simplify right side
    7,872.84x = 84,834,477.82
  5. Step 5: Solve for x
    x = 84,834,477.82/7,872.84
  6. Step 6: Final answer
    x = 10,775.59

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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.