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Finding the Fourth Proportional to 7,269.05, 10,894.14 and 4,802.60

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Solution

The fourth proportional to 7,269.05, 10,894.14 and 4,802.60 is: 7,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.05 : 10,894.14 = 4,802.60 : x
  2. Step 2: Convert to fraction form
    7,269.05/10,894.14 = 4,802.60/x
  3. Step 3: Cross multiply
    7,269.05x = 10,894.14 × 4,802.60
  4. Step 4: Simplify right side
    7,269.05x = 52,320,142.29
  5. Step 5: Solve for x
    x = 52,320,142.29/7,269.05
  6. Step 6: Final answer
    x = 7,197.66

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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.