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Finding the Fourth Proportional to 10,522.02, 14,520.82 and 6,047.18

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Solution

The fourth proportional to 10,522.02, 14,520.82 and 6,047.18 is: 8,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.02 : 14,520.82 = 6,047.18 : x
  2. Step 2: Convert to fraction form
    10,522.02/14,520.82 = 6,047.18/x
  3. Step 3: Cross multiply
    10,522.02x = 14,520.82 × 6,047.18
  4. Step 4: Simplify right side
    10,522.02x = 87,809,924.57
  5. Step 5: Solve for x
    x = 87,809,924.57/10,522.02
  6. Step 6: Final answer
    x = 8,345.35

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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.