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Finding the Fourth Proportional to 7,569.86, 10,446.57 and 4,213.01

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Solution

The fourth proportional to 7,569.86, 10,446.57 and 4,213.01 is: 5,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.86 : 10,446.57 = 4,213.01 : x
  2. Step 2: Convert to fraction form
    7,569.86/10,446.57 = 4,213.01/x
  3. Step 3: Cross multiply
    7,569.86x = 10,446.57 × 4,213.01
  4. Step 4: Simplify right side
    7,569.86x = 44,011,529.99
  5. Step 5: Solve for x
    x = 44,011,529.99/7,569.86
  6. Step 6: Final answer
    x = 5,814.05

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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.