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Finding the Fourth Proportional to 7,214.92, 10,824.28 and 3,055.10

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Solution

The fourth proportional to 7,214.92, 10,824.28 and 3,055.10 is: 4,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.92 : 10,824.28 = 3,055.10 : x
  2. Step 2: Convert to fraction form
    7,214.92/10,824.28 = 3,055.10/x
  3. Step 3: Cross multiply
    7,214.92x = 10,824.28 × 3,055.10
  4. Step 4: Simplify right side
    7,214.92x = 33,069,196.07
  5. Step 5: Solve for x
    x = 33,069,196.07/7,214.92
  6. Step 6: Final answer
    x = 4,583.45

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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.