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Finding the Fourth Proportional to 10,650.51, 14,697.68 and 6,176.86

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Solution

The fourth proportional to 10,650.51, 14,697.68 and 6,176.86 is: 8,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.51 : 14,697.68 = 6,176.86 : x
  2. Step 2: Convert to fraction form
    10,650.51/14,697.68 = 6,176.86/x
  3. Step 3: Cross multiply
    10,650.51x = 14,697.68 × 6,176.86
  4. Step 4: Simplify right side
    10,650.51x = 90,785,444.06
  5. Step 5: Solve for x
    x = 90,785,444.06/10,650.51
  6. Step 6: Final answer
    x = 8,524.05

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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.