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Finding the Fourth Proportional to 10,515.34, 14,517.09 and 7,289.85

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Solution

The fourth proportional to 10,515.34, 14,517.09 and 7,289.85 is: 10,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.34 : 14,517.09 = 7,289.85 : x
  2. Step 2: Convert to fraction form
    10,515.34/14,517.09 = 7,289.85/x
  3. Step 3: Cross multiply
    10,515.34x = 14,517.09 × 7,289.85
  4. Step 4: Simplify right side
    10,515.34x = 105,827,408.54
  5. Step 5: Solve for x
    x = 105,827,408.54/10,515.34
  6. Step 6: Final answer
    x = 10,064.10

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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.