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Finding the Fourth Proportional to 8,389.34, 11,577.05 and 4,612.51

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Solution

The fourth proportional to 8,389.34, 11,577.05 and 4,612.51 is: 6,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.34 : 11,577.05 = 4,612.51 : x
  2. Step 2: Convert to fraction form
    8,389.34/11,577.05 = 4,612.51/x
  3. Step 3: Cross multiply
    8,389.34x = 11,577.05 × 4,612.51
  4. Step 4: Simplify right side
    8,389.34x = 53,399,177.95
  5. Step 5: Solve for x
    x = 53,399,177.95/8,389.34
  6. Step 6: Final answer
    x = 6,365.13

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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.