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Finding the Fourth Proportional to 10,083, 15,120.57 and 5,924.07

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Solution

The fourth proportional to 10,083, 15,120.57 and 5,924.07 is: 8,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083 : 15,120.57 = 5,924.07 : x
  2. Step 2: Convert to fraction form
    10,083/15,120.57 = 5,924.07/x
  3. Step 3: Cross multiply
    10,083x = 15,120.57 × 5,924.07
  4. Step 4: Simplify right side
    10,083x = 89,575,315.12
  5. Step 5: Solve for x
    x = 89,575,315.12/10,083
  6. Step 6: Final answer
    x = 8,883.80

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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.