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Finding the Fourth Proportional to 7,463.59, 11,194.98 and 2,269.06

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Solution

The fourth proportional to 7,463.59, 11,194.98 and 2,269.06 is: 3,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.59 : 11,194.98 = 2,269.06 : x
  2. Step 2: Convert to fraction form
    7,463.59/11,194.98 = 2,269.06/x
  3. Step 3: Cross multiply
    7,463.59x = 11,194.98 × 2,269.06
  4. Step 4: Simplify right side
    7,463.59x = 25,402,114.98
  5. Step 5: Solve for x
    x = 25,402,114.98/7,463.59
  6. Step 6: Final answer
    x = 3,403.47

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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.