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Finding the Fourth Proportional to 7,875.83, 11,813.90 and 2,329.17

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Solution

The fourth proportional to 7,875.83, 11,813.90 and 2,329.17 is: 3,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.83 : 11,813.90 = 2,329.17 : x
  2. Step 2: Convert to fraction form
    7,875.83/11,813.90 = 2,329.17/x
  3. Step 3: Cross multiply
    7,875.83x = 11,813.90 × 2,329.17
  4. Step 4: Simplify right side
    7,875.83x = 27,516,581.46
  5. Step 5: Solve for x
    x = 27,516,581.46/7,875.83
  6. Step 6: Final answer
    x = 3,493.80

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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.