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Finding the Fourth Proportional to 8,875.79, 13,294.23 and 5,405.75

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Solution

The fourth proportional to 8,875.79, 13,294.23 and 5,405.75 is: 8,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.79 : 13,294.23 = 5,405.75 : x
  2. Step 2: Convert to fraction form
    8,875.79/13,294.23 = 5,405.75/x
  3. Step 3: Cross multiply
    8,875.79x = 13,294.23 × 5,405.75
  4. Step 4: Simplify right side
    8,875.79x = 71,865,283.82
  5. Step 5: Solve for x
    x = 71,865,283.82/8,875.79
  6. Step 6: Final answer
    x = 8,096.78

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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.