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Finding the Fourth Proportional to 7,698.16, 11,547.34 and 2,151.18

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Solution

The fourth proportional to 7,698.16, 11,547.34 and 2,151.18 is: 3,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.16 : 11,547.34 = 2,151.18 : x
  2. Step 2: Convert to fraction form
    7,698.16/11,547.34 = 2,151.18/x
  3. Step 3: Cross multiply
    7,698.16x = 11,547.34 × 2,151.18
  4. Step 4: Simplify right side
    7,698.16x = 24,840,406.86
  5. Step 5: Solve for x
    x = 24,840,406.86/7,698.16
  6. Step 6: Final answer
    x = 3,226.80

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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.