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Finding the Fourth Proportional to 10,242.62, 14,135.10 and 6,263.66

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Solution

The fourth proportional to 10,242.62, 14,135.10 and 6,263.66 is: 8,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.62 : 14,135.10 = 6,263.66 : x
  2. Step 2: Convert to fraction form
    10,242.62/14,135.10 = 6,263.66/x
  3. Step 3: Cross multiply
    10,242.62x = 14,135.10 × 6,263.66
  4. Step 4: Simplify right side
    10,242.62x = 88,537,460.47
  5. Step 5: Solve for x
    x = 88,537,460.47/10,242.62
  6. Step 6: Final answer
    x = 8,644.02

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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.