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Finding the Fourth Proportional to 10,098.61, 13,933.26 and 6,064.35

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Solution

The fourth proportional to 10,098.61, 13,933.26 and 6,064.35 is: 8,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.61 : 13,933.26 = 6,064.35 : x
  2. Step 2: Convert to fraction form
    10,098.61/13,933.26 = 6,064.35/x
  3. Step 3: Cross multiply
    10,098.61x = 13,933.26 × 6,064.35
  4. Step 4: Simplify right side
    10,098.61x = 84,496,165.28
  5. Step 5: Solve for x
    x = 84,496,165.28/10,098.61
  6. Step 6: Final answer
    x = 8,367.11

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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.