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Finding the Fourth Proportional to 7,813.67, 11,712.80 and 3,130.85

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Solution

The fourth proportional to 7,813.67, 11,712.80 and 3,130.85 is: 4,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.67 : 11,712.80 = 3,130.85 : x
  2. Step 2: Convert to fraction form
    7,813.67/11,712.80 = 3,130.85/x
  3. Step 3: Cross multiply
    7,813.67x = 11,712.80 × 3,130.85
  4. Step 4: Simplify right side
    7,813.67x = 36,671,056.99
  5. Step 5: Solve for x
    x = 36,671,056.99/7,813.67
  6. Step 6: Final answer
    x = 4,693.20

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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.