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Finding the Fourth Proportional to 8,419.98, 11,612.75 and 7,409.51

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Solution

The fourth proportional to 8,419.98, 11,612.75 and 7,409.51 is: 10,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.98 : 11,612.75 = 7,409.51 : x
  2. Step 2: Convert to fraction form
    8,419.98/11,612.75 = 7,409.51/x
  3. Step 3: Cross multiply
    8,419.98x = 11,612.75 × 7,409.51
  4. Step 4: Simplify right side
    8,419.98x = 86,044,787.25
  5. Step 5: Solve for x
    x = 86,044,787.25/8,419.98
  6. Step 6: Final answer
    x = 10,219.12

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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.