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Finding the Fourth Proportional to 8,419.13, 11,616.17 and 5,430.23

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Solution

The fourth proportional to 8,419.13, 11,616.17 and 5,430.23 is: 7,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.13 : 11,616.17 = 5,430.23 : x
  2. Step 2: Convert to fraction form
    8,419.13/11,616.17 = 5,430.23/x
  3. Step 3: Cross multiply
    8,419.13x = 11,616.17 × 5,430.23
  4. Step 4: Simplify right side
    8,419.13x = 63,078,474.82
  5. Step 5: Solve for x
    x = 63,078,474.82/8,419.13
  6. Step 6: Final answer
    x = 7,492.28

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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.