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Finding the Fourth Proportional to 10,051.21, 15,086.06 and 5,124.52

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Solution

The fourth proportional to 10,051.21, 15,086.06 and 5,124.52 is: 7,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.21 : 15,086.06 = 5,124.52 : x
  2. Step 2: Convert to fraction form
    10,051.21/15,086.06 = 5,124.52/x
  3. Step 3: Cross multiply
    10,051.21x = 15,086.06 × 5,124.52
  4. Step 4: Simplify right side
    10,051.21x = 77,308,816.19
  5. Step 5: Solve for x
    x = 77,308,816.19/10,051.21
  6. Step 6: Final answer
    x = 7,691.49

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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.