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Finding the Fourth Proportional to 7,569.85, 10,446.34 and 4,212.63

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Solution

The fourth proportional to 7,569.85, 10,446.34 and 4,212.63 is: 5,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.85 : 10,446.34 = 4,212.63 : x
  2. Step 2: Convert to fraction form
    7,569.85/10,446.34 = 4,212.63/x
  3. Step 3: Cross multiply
    7,569.85x = 10,446.34 × 4,212.63
  4. Step 4: Simplify right side
    7,569.85x = 44,006,565.27
  5. Step 5: Solve for x
    x = 44,006,565.27/7,569.85
  6. Step 6: Final answer
    x = 5,813.40

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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.