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Finding the Fourth Proportional to 10,575.99, 15,830.51 and 7,441.47

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Solution

The fourth proportional to 10,575.99, 15,830.51 and 7,441.47 is: 11,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.99 : 15,830.51 = 7,441.47 : x
  2. Step 2: Convert to fraction form
    10,575.99/15,830.51 = 7,441.47/x
  3. Step 3: Cross multiply
    10,575.99x = 15,830.51 × 7,441.47
  4. Step 4: Simplify right side
    10,575.99x = 117,802,265.25
  5. Step 5: Solve for x
    x = 117,802,265.25/10,575.99
  6. Step 6: Final answer
    x = 11,138.65

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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.