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Finding the Fourth Proportional to 7,698.38, 11,547.50 and 2,151.77

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Solution

The fourth proportional to 7,698.38, 11,547.50 and 2,151.77 is: 3,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.38 : 11,547.50 = 2,151.77 : x
  2. Step 2: Convert to fraction form
    7,698.38/11,547.50 = 2,151.77/x
  3. Step 3: Cross multiply
    7,698.38x = 11,547.50 × 2,151.77
  4. Step 4: Simplify right side
    7,698.38x = 24,847,495.58
  5. Step 5: Solve for x
    x = 24,847,495.58/7,698.38
  6. Step 6: Final answer
    x = 3,227.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.