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Finding the Fourth Proportional to 10,622.27, 14,652.27 and 7,642.15

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Solution

The fourth proportional to 10,622.27, 14,652.27 and 7,642.15 is: 10,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.27 : 14,652.27 = 7,642.15 : x
  2. Step 2: Convert to fraction form
    10,622.27/14,652.27 = 7,642.15/x
  3. Step 3: Cross multiply
    10,622.27x = 14,652.27 × 7,642.15
  4. Step 4: Simplify right side
    10,622.27x = 111,974,808.55
  5. Step 5: Solve for x
    x = 111,974,808.55/10,622.27
  6. Step 6: Final answer
    x = 10,541.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.