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Finding the Fourth Proportional to 7,859.34, 10,846.47 and 4,322.64

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Solution

The fourth proportional to 7,859.34, 10,846.47 and 4,322.64 is: 5,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.34 : 10,846.47 = 4,322.64 : x
  2. Step 2: Convert to fraction form
    7,859.34/10,846.47 = 4,322.64/x
  3. Step 3: Cross multiply
    7,859.34x = 10,846.47 × 4,322.64
  4. Step 4: Simplify right side
    7,859.34x = 46,885,385.08
  5. Step 5: Solve for x
    x = 46,885,385.08/7,859.34
  6. Step 6: Final answer
    x = 5,965.56

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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.