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Finding the Fourth Proportional to 10,626.88, 14,665.44 and 6,646.72

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Solution

The fourth proportional to 10,626.88, 14,665.44 and 6,646.72 is: 9,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.88 : 14,665.44 = 6,646.72 : x
  2. Step 2: Convert to fraction form
    10,626.88/14,665.44 = 6,646.72/x
  3. Step 3: Cross multiply
    10,626.88x = 14,665.44 × 6,646.72
  4. Step 4: Simplify right side
    10,626.88x = 97,477,073.36
  5. Step 5: Solve for x
    x = 97,477,073.36/10,626.88
  6. Step 6: Final answer
    x = 9,172.69

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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.