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Finding the Fourth Proportional to 7,302.34, 10,952.29 and 2,107

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Solution

The fourth proportional to 7,302.34, 10,952.29 and 2,107 is: 3,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.34 : 10,952.29 = 2,107 : x
  2. Step 2: Convert to fraction form
    7,302.34/10,952.29 = 2,107/x
  3. Step 3: Cross multiply
    7,302.34x = 10,952.29 × 2,107
  4. Step 4: Simplify right side
    7,302.34x = 23,076,475.03
  5. Step 5: Solve for x
    x = 23,076,475.03/7,302.34
  6. Step 6: Final answer
    x = 3,160.15

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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.