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Finding the Fourth Proportional to 7,547.76, 11,321.64 and 2,354.04

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Solution

The fourth proportional to 7,547.76, 11,321.64 and 2,354.04 is: 3,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.76 : 11,321.64 = 2,354.04 : x
  2. Step 2: Convert to fraction form
    7,547.76/11,321.64 = 2,354.04/x
  3. Step 3: Cross multiply
    7,547.76x = 11,321.64 × 2,354.04
  4. Step 4: Simplify right side
    7,547.76x = 26,651,593.43
  5. Step 5: Solve for x
    x = 26,651,593.43/7,547.76
  6. Step 6: Final answer
    x = 3,531.06

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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.