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Finding the Fourth Proportional to 7,924.64, 10,935.86 and 4,387.84

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Solution

The fourth proportional to 7,924.64, 10,935.86 and 4,387.84 is: 6,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.64 : 10,935.86 = 4,387.84 : x
  2. Step 2: Convert to fraction form
    7,924.64/10,935.86 = 4,387.84/x
  3. Step 3: Cross multiply
    7,924.64x = 10,935.86 × 4,387.84
  4. Step 4: Simplify right side
    7,924.64x = 47,984,803.94
  5. Step 5: Solve for x
    x = 47,984,803.94/7,924.64
  6. Step 6: Final answer
    x = 6,055.14

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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.