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Finding the Fourth Proportional to 7,428.66, 10,253.07 and 4,284.42

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Solution

The fourth proportional to 7,428.66, 10,253.07 and 4,284.42 is: 5,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.66 : 10,253.07 = 4,284.42 : x
  2. Step 2: Convert to fraction form
    7,428.66/10,253.07 = 4,284.42/x
  3. Step 3: Cross multiply
    7,428.66x = 10,253.07 × 4,284.42
  4. Step 4: Simplify right side
    7,428.66x = 43,928,458.17
  5. Step 5: Solve for x
    x = 43,928,458.17/7,428.66
  6. Step 6: Final answer
    x = 5,913.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.