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Finding the Fourth Proportional to 8,032.47, 12,038.99 and 3,405.75

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Solution

The fourth proportional to 8,032.47, 12,038.99 and 3,405.75 is: 5,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.47 : 12,038.99 = 3,405.75 : x
  2. Step 2: Convert to fraction form
    8,032.47/12,038.99 = 3,405.75/x
  3. Step 3: Cross multiply
    8,032.47x = 12,038.99 × 3,405.75
  4. Step 4: Simplify right side
    8,032.47x = 41,001,773.16
  5. Step 5: Solve for x
    x = 41,001,773.16/8,032.47
  6. Step 6: Final answer
    x = 5,104.50

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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.