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Finding the Fourth Proportional to 10,287.68, 15,424.63 and 4,733.51

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Solution

The fourth proportional to 10,287.68, 15,424.63 and 4,733.51 is: 7,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.68 : 15,424.63 = 4,733.51 : x
  2. Step 2: Convert to fraction form
    10,287.68/15,424.63 = 4,733.51/x
  3. Step 3: Cross multiply
    10,287.68x = 15,424.63 × 4,733.51
  4. Step 4: Simplify right side
    10,287.68x = 73,012,551.39
  5. Step 5: Solve for x
    x = 73,012,551.39/10,287.68
  6. Step 6: Final answer
    x = 7,097.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.