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Finding the Fourth Proportional to 10,456.64, 14,427.98 and 6,207.10

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Solution

The fourth proportional to 10,456.64, 14,427.98 and 6,207.10 is: 8,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.64 : 14,427.98 = 6,207.10 : x
  2. Step 2: Convert to fraction form
    10,456.64/14,427.98 = 6,207.10/x
  3. Step 3: Cross multiply
    10,456.64x = 14,427.98 × 6,207.10
  4. Step 4: Simplify right side
    10,456.64x = 89,555,914.66
  5. Step 5: Solve for x
    x = 89,555,914.66/10,456.64
  6. Step 6: Final answer
    x = 8,564.50

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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.