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Finding the Fourth Proportional to 10,479.62, 15,724.54 and 4,933.51

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Solution

The fourth proportional to 10,479.62, 15,724.54 and 4,933.51 is: 7,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.62 : 15,724.54 = 4,933.51 : x
  2. Step 2: Convert to fraction form
    10,479.62/15,724.54 = 4,933.51/x
  3. Step 3: Cross multiply
    10,479.62x = 15,724.54 × 4,933.51
  4. Step 4: Simplify right side
    10,479.62x = 77,577,175.34
  5. Step 5: Solve for x
    x = 77,577,175.34/10,479.62
  6. Step 6: Final answer
    x = 7,402.67

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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.