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Finding the Fourth Proportional to 7,652.16, 10,549.83 and 4,994.96

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Solution

The fourth proportional to 7,652.16, 10,549.83 and 4,994.96 is: 6,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.16 : 10,549.83 = 4,994.96 : x
  2. Step 2: Convert to fraction form
    7,652.16/10,549.83 = 4,994.96/x
  3. Step 3: Cross multiply
    7,652.16x = 10,549.83 × 4,994.96
  4. Step 4: Simplify right side
    7,652.16x = 52,695,907.38
  5. Step 5: Solve for x
    x = 52,695,907.38/7,652.16
  6. Step 6: Final answer
    x = 6,886.41

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Why These Related Problems?

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