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Finding the Fourth Proportional to 10,620.88, 14,657.64 and 5,906.32

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Solution

The fourth proportional to 10,620.88, 14,657.64 and 5,906.32 is: 8,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.88 : 14,657.64 = 5,906.32 : x
  2. Step 2: Convert to fraction form
    10,620.88/14,657.64 = 5,906.32/x
  3. Step 3: Cross multiply
    10,620.88x = 14,657.64 × 5,906.32
  4. Step 4: Simplify right side
    10,620.88x = 86,572,712.28
  5. Step 5: Solve for x
    x = 86,572,712.28/10,620.88
  6. Step 6: Final answer
    x = 8,151.18

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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.