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Finding the Fourth Proportional to 10,522.02, 14,520.48 and 5,806.48

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Solution

The fourth proportional to 10,522.02, 14,520.48 and 5,806.48 is: 8,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.02 : 14,520.48 = 5,806.48 : x
  2. Step 2: Convert to fraction form
    10,522.02/14,520.48 = 5,806.48/x
  3. Step 3: Cross multiply
    10,522.02x = 14,520.48 × 5,806.48
  4. Step 4: Simplify right side
    10,522.02x = 84,312,876.71
  5. Step 5: Solve for x
    x = 84,312,876.71/10,522.02
  6. Step 6: Final answer
    x = 8,012.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.