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Finding the Fourth Proportional to 8,625.60, 12,938.76 and 7,174.98

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Solution

The fourth proportional to 8,625.60, 12,938.76 and 7,174.98 is: 10,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.60 : 12,938.76 = 7,174.98 : x
  2. Step 2: Convert to fraction form
    8,625.60/12,938.76 = 7,174.98/x
  3. Step 3: Cross multiply
    8,625.60x = 12,938.76 × 7,174.98
  4. Step 4: Simplify right side
    8,625.60x = 92,835,344.22
  5. Step 5: Solve for x
    x = 92,835,344.22/8,625.60
  6. Step 6: Final answer
    x = 10,762.77

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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.