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Finding the Fourth Proportional to 7,802.85, 11,681.31 and 4,872.27

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Solution

The fourth proportional to 7,802.85, 11,681.31 and 4,872.27 is: 7,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.85 : 11,681.31 = 4,872.27 : x
  2. Step 2: Convert to fraction form
    7,802.85/11,681.31 = 4,872.27/x
  3. Step 3: Cross multiply
    7,802.85x = 11,681.31 × 4,872.27
  4. Step 4: Simplify right side
    7,802.85x = 56,914,496.27
  5. Step 5: Solve for x
    x = 56,914,496.27/7,802.85
  6. Step 6: Final answer
    x = 7,294.07

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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.