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Finding the Fourth Proportional to 7,859.76, 10,846.56 and 4,323

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Solution

The fourth proportional to 7,859.76, 10,846.56 and 4,323 is: 5,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.76 : 10,846.56 = 4,323 : x
  2. Step 2: Convert to fraction form
    7,859.76/10,846.56 = 4,323/x
  3. Step 3: Cross multiply
    7,859.76x = 10,846.56 × 4,323
  4. Step 4: Simplify right side
    7,859.76x = 46,889,678.88
  5. Step 5: Solve for x
    x = 46,889,678.88/7,859.76
  6. Step 6: Final answer
    x = 5,965.79

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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.