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Finding the Fourth Proportional to 7,334.57, 10,122.29 and 6,193.95

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Solution

The fourth proportional to 7,334.57, 10,122.29 and 6,193.95 is: 8,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.57 : 10,122.29 = 6,193.95 : x
  2. Step 2: Convert to fraction form
    7,334.57/10,122.29 = 6,193.95/x
  3. Step 3: Cross multiply
    7,334.57x = 10,122.29 × 6,193.95
  4. Step 4: Simplify right side
    7,334.57x = 62,696,927.18
  5. Step 5: Solve for x
    x = 62,696,927.18/7,334.57
  6. Step 6: Final answer
    x = 8,548.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.