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Finding the Fourth Proportional to 10,952.10, 15,122.25 and 8,430.30

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Solution

The fourth proportional to 10,952.10, 15,122.25 and 8,430.30 is: 11,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.10 : 15,122.25 = 8,430.30 : x
  2. Step 2: Convert to fraction form
    10,952.10/15,122.25 = 8,430.30/x
  3. Step 3: Cross multiply
    10,952.10x = 15,122.25 × 8,430.30
  4. Step 4: Simplify right side
    10,952.10x = 127,485,104.18
  5. Step 5: Solve for x
    x = 127,485,104.18/10,952.10
  6. Step 6: Final answer
    x = 11,640.24

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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.