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Finding the Fourth Proportional to 10,032.96, 15,051 and 4,189.92

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Solution

The fourth proportional to 10,032.96, 15,051 and 4,189.92 is: 6,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.96 : 15,051 = 4,189.92 : x
  2. Step 2: Convert to fraction form
    10,032.96/15,051 = 4,189.92/x
  3. Step 3: Cross multiply
    10,032.96x = 15,051 × 4,189.92
  4. Step 4: Simplify right side
    10,032.96x = 63,062,485.92
  5. Step 5: Solve for x
    x = 63,062,485.92/10,032.96
  6. Step 6: Final answer
    x = 6,285.53

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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.