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Finding the Fourth Proportional to 10,511.58, 14,508.63 and 6,322.30

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Solution

The fourth proportional to 10,511.58, 14,508.63 and 6,322.30 is: 8,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.58 : 14,508.63 = 6,322.30 : x
  2. Step 2: Convert to fraction form
    10,511.58/14,508.63 = 6,322.30/x
  3. Step 3: Cross multiply
    10,511.58x = 14,508.63 × 6,322.30
  4. Step 4: Simplify right side
    10,511.58x = 91,727,911.45
  5. Step 5: Solve for x
    x = 91,727,911.45/10,511.58
  6. Step 6: Final answer
    x = 8,726.37

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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.