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Finding the Fourth Proportional to 7,875.38, 11,813.29 and 2,944.07

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Solution

The fourth proportional to 7,875.38, 11,813.29 and 2,944.07 is: 4,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.38 : 11,813.29 = 2,944.07 : x
  2. Step 2: Convert to fraction form
    7,875.38/11,813.29 = 2,944.07/x
  3. Step 3: Cross multiply
    7,875.38x = 11,813.29 × 2,944.07
  4. Step 4: Simplify right side
    7,875.38x = 34,779,180.35
  5. Step 5: Solve for x
    x = 34,779,180.35/7,875.38
  6. Step 6: Final answer
    x = 4,416.19

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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.