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Finding the Fourth Proportional to 10,479.16, 15,720.35 and 4,933.09

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Solution

The fourth proportional to 10,479.16, 15,720.35 and 4,933.09 is: 7,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.16 : 15,720.35 = 4,933.09 : x
  2. Step 2: Convert to fraction form
    10,479.16/15,720.35 = 4,933.09/x
  3. Step 3: Cross multiply
    10,479.16x = 15,720.35 × 4,933.09
  4. Step 4: Simplify right side
    10,479.16x = 77,549,837.42
  5. Step 5: Solve for x
    x = 77,549,837.42/10,479.16
  6. Step 6: Final answer
    x = 7,400.39

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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.