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Finding the Fourth Proportional to 7,223.77, 10,834.44 and 2,547.25

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Solution

The fourth proportional to 7,223.77, 10,834.44 and 2,547.25 is: 3,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.77 : 10,834.44 = 2,547.25 : x
  2. Step 2: Convert to fraction form
    7,223.77/10,834.44 = 2,547.25/x
  3. Step 3: Cross multiply
    7,223.77x = 10,834.44 × 2,547.25
  4. Step 4: Simplify right side
    7,223.77x = 27,598,027.29
  5. Step 5: Solve for x
    x = 27,598,027.29/7,223.77
  6. Step 6: Final answer
    x = 3,820.45

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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.