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Finding the Fourth Proportional to 7,627.02, 10,522.16 and 4,640.46

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Solution

The fourth proportional to 7,627.02, 10,522.16 and 4,640.46 is: 6,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.02 : 10,522.16 = 4,640.46 : x
  2. Step 2: Convert to fraction form
    7,627.02/10,522.16 = 4,640.46/x
  3. Step 3: Cross multiply
    7,627.02x = 10,522.16 × 4,640.46
  4. Step 4: Simplify right side
    7,627.02x = 48,827,662.59
  5. Step 5: Solve for x
    x = 48,827,662.59/7,627.02
  6. Step 6: Final answer
    x = 6,401.93

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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.