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Finding the Fourth Proportional to 10,657.24, 14,697.44 and 6,678.80

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Solution

The fourth proportional to 10,657.24, 14,697.44 and 6,678.80 is: 9,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.24 : 14,697.44 = 6,678.80 : x
  2. Step 2: Convert to fraction form
    10,657.24/14,697.44 = 6,678.80/x
  3. Step 3: Cross multiply
    10,657.24x = 14,697.44 × 6,678.80
  4. Step 4: Simplify right side
    10,657.24x = 98,161,262.27
  5. Step 5: Solve for x
    x = 98,161,262.27/10,657.24
  6. Step 6: Final answer
    x = 9,210.76

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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.