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Finding the Fourth Proportional to 5,406.63, 8,124.12 and 4,715.03

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Solution

The fourth proportional to 5,406.63, 8,124.12 and 4,715.03 is: 7,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.63 : 8,124.12 = 4,715.03 : x
  2. Step 2: Convert to fraction form
    5,406.63/8,124.12 = 4,715.03/x
  3. Step 3: Cross multiply
    5,406.63x = 8,124.12 × 4,715.03
  4. Step 4: Simplify right side
    5,406.63x = 38,305,428.90
  5. Step 5: Solve for x
    x = 38,305,428.90/5,406.63
  6. Step 6: Final answer
    x = 7,084.90

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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.