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Finding the Fourth Proportional to 7,228.69, 10,844.01 and 2,547.60

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Solution

The fourth proportional to 7,228.69, 10,844.01 and 2,547.60 is: 3,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.69 : 10,844.01 = 2,547.60 : x
  2. Step 2: Convert to fraction form
    7,228.69/10,844.01 = 2,547.60/x
  3. Step 3: Cross multiply
    7,228.69x = 10,844.01 × 2,547.60
  4. Step 4: Simplify right side
    7,228.69x = 27,626,220.21
  5. Step 5: Solve for x
    x = 27,626,220.21/7,228.69
  6. Step 6: Final answer
    x = 3,821.74

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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.