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Finding the Fourth Proportional to 8,782.50, 13,174.35 and 2,938.35

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Solution

The fourth proportional to 8,782.50, 13,174.35 and 2,938.35 is: 4,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.50 : 13,174.35 = 2,938.35 : x
  2. Step 2: Convert to fraction form
    8,782.50/13,174.35 = 2,938.35/x
  3. Step 3: Cross multiply
    8,782.50x = 13,174.35 × 2,938.35
  4. Step 4: Simplify right side
    8,782.50x = 38,710,851.32
  5. Step 5: Solve for x
    x = 38,710,851.32/8,782.50
  6. Step 6: Final answer
    x = 4,407.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.