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Finding the Fourth Proportional to 12,380.85, 17,085.51 and 6,715.59

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Solution

The fourth proportional to 12,380.85, 17,085.51 and 6,715.59 is: 9,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.85 : 17,085.51 = 6,715.59 : x
  2. Step 2: Convert to fraction form
    12,380.85/17,085.51 = 6,715.59/x
  3. Step 3: Cross multiply
    12,380.85x = 17,085.51 × 6,715.59
  4. Step 4: Simplify right side
    12,380.85x = 114,739,280.10
  5. Step 5: Solve for x
    x = 114,739,280.10/12,380.85
  6. Step 6: Final answer
    x = 9,267.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.