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Finding the Fourth Proportional to 10,005.40, 13,811.34 and 8,955.64

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Solution

The fourth proportional to 10,005.40, 13,811.34 and 8,955.64 is: 12,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.40 : 13,811.34 = 8,955.64 : x
  2. Step 2: Convert to fraction form
    10,005.40/13,811.34 = 8,955.64/x
  3. Step 3: Cross multiply
    10,005.40x = 13,811.34 × 8,955.64
  4. Step 4: Simplify right side
    10,005.40x = 123,689,388.96
  5. Step 5: Solve for x
    x = 123,689,388.96/10,005.40
  6. Step 6: Final answer
    x = 12,362.26

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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.