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Finding the Fourth Proportional to 7,812.49, 11,726.84 and 5,233.45

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Solution

The fourth proportional to 7,812.49, 11,726.84 and 5,233.45 is: 7,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.49 : 11,726.84 = 5,233.45 : x
  2. Step 2: Convert to fraction form
    7,812.49/11,726.84 = 5,233.45/x
  3. Step 3: Cross multiply
    7,812.49x = 11,726.84 × 5,233.45
  4. Step 4: Simplify right side
    7,812.49x = 61,371,830.80
  5. Step 5: Solve for x
    x = 61,371,830.80/7,812.49
  6. Step 6: Final answer
    x = 7,855.60

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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.