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Finding the Fourth Proportional to 7,582.93, 10,463.19 and 4,224.98

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Solution

The fourth proportional to 7,582.93, 10,463.19 and 4,224.98 is: 5,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.93 : 10,463.19 = 4,224.98 : x
  2. Step 2: Convert to fraction form
    7,582.93/10,463.19 = 4,224.98/x
  3. Step 3: Cross multiply
    7,582.93x = 10,463.19 × 4,224.98
  4. Step 4: Simplify right side
    7,582.93x = 44,206,768.49
  5. Step 5: Solve for x
    x = 44,206,768.49/7,582.93
  6. Step 6: Final answer
    x = 5,829.77

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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.