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Finding the Fourth Proportional to 10,623.08, 14,659.16 and 6,644

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Solution

The fourth proportional to 10,623.08, 14,659.16 and 6,644 is: 9,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.08 : 14,659.16 = 6,644 : x
  2. Step 2: Convert to fraction form
    10,623.08/14,659.16 = 6,644/x
  3. Step 3: Cross multiply
    10,623.08x = 14,659.16 × 6,644
  4. Step 4: Simplify right side
    10,623.08x = 97,395,459.04
  5. Step 5: Solve for x
    x = 97,395,459.04/10,623.08
  6. Step 6: Final answer
    x = 9,168.29

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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.