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Finding the Fourth Proportional to 7,278.60, 10,047.06 and 5,192.04

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Solution

The fourth proportional to 7,278.60, 10,047.06 and 5,192.04 is: 7,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.60 : 10,047.06 = 5,192.04 : x
  2. Step 2: Convert to fraction form
    7,278.60/10,047.06 = 5,192.04/x
  3. Step 3: Cross multiply
    7,278.60x = 10,047.06 × 5,192.04
  4. Step 4: Simplify right side
    7,278.60x = 52,164,737.40
  5. Step 5: Solve for x
    x = 52,164,737.40/7,278.60
  6. Step 6: Final answer
    x = 7,166.86

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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.