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Finding the Fourth Proportional to 7,569.86, 10,446.10 and 4,212.56

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Solution

The fourth proportional to 7,569.86, 10,446.10 and 4,212.56 is: 5,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.86 : 10,446.10 = 4,212.56 : x
  2. Step 2: Convert to fraction form
    7,569.86/10,446.10 = 4,212.56/x
  3. Step 3: Cross multiply
    7,569.86x = 10,446.10 × 4,212.56
  4. Step 4: Simplify right side
    7,569.86x = 44,004,823.02
  5. Step 5: Solve for x
    x = 44,004,823.02/7,569.86
  6. Step 6: Final answer
    x = 5,813.16

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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.