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Finding the Fourth Proportional to 7,813.53, 11,715.17 and 3,130.11

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Solution

The fourth proportional to 7,813.53, 11,715.17 and 3,130.11 is: 4,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.53 : 11,715.17 = 3,130.11 : x
  2. Step 2: Convert to fraction form
    7,813.53/11,715.17 = 3,130.11/x
  3. Step 3: Cross multiply
    7,813.53x = 11,715.17 × 3,130.11
  4. Step 4: Simplify right side
    7,813.53x = 36,669,755.12
  5. Step 5: Solve for x
    x = 36,669,755.12/7,813.53
  6. Step 6: Final answer
    x = 4,693.11

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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.