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Finding the Fourth Proportional to 7,111.02, 10,665.12 and 3,214.53

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Solution

The fourth proportional to 7,111.02, 10,665.12 and 3,214.53 is: 4,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.02 : 10,665.12 = 3,214.53 : x
  2. Step 2: Convert to fraction form
    7,111.02/10,665.12 = 3,214.53/x
  3. Step 3: Cross multiply
    7,111.02x = 10,665.12 × 3,214.53
  4. Step 4: Simplify right side
    7,111.02x = 34,283,348.19
  5. Step 5: Solve for x
    x = 34,283,348.19/7,111.02
  6. Step 6: Final answer
    x = 4,821.16

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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.