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Finding the Fourth Proportional to 7,426, 10,248.84 and 4,281.68

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Solution

The fourth proportional to 7,426, 10,248.84 and 4,281.68 is: 5,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426 : 10,248.84 = 4,281.68 : x
  2. Step 2: Convert to fraction form
    7,426/10,248.84 = 4,281.68/x
  3. Step 3: Cross multiply
    7,426x = 10,248.84 × 4,281.68
  4. Step 4: Simplify right side
    7,426x = 43,882,253.25
  5. Step 5: Solve for x
    x = 43,882,253.25/7,426
  6. Step 6: Final answer
    x = 5,909.27

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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.