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Finding the Fourth Proportional to 4,712.62, 7,068.93 and 1,202.63

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Solution

The fourth proportional to 4,712.62, 7,068.93 and 1,202.63 is: 1,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.62 : 7,068.93 = 1,202.63 : x
  2. Step 2: Convert to fraction form
    4,712.62/7,068.93 = 1,202.63/x
  3. Step 3: Cross multiply
    4,712.62x = 7,068.93 × 1,202.63
  4. Step 4: Simplify right side
    4,712.62x = 8,501,285.10
  5. Step 5: Solve for x
    x = 8,501,285.10/4,712.62
  6. Step 6: Final answer
    x = 1,803.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.