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Finding the Fourth Proportional to 12,048.79, 16,625.34 and 7,569.37

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Solution

The fourth proportional to 12,048.79, 16,625.34 and 7,569.37 is: 10,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.79 : 16,625.34 = 7,569.37 : x
  2. Step 2: Convert to fraction form
    12,048.79/16,625.34 = 7,569.37/x
  3. Step 3: Cross multiply
    12,048.79x = 16,625.34 × 7,569.37
  4. Step 4: Simplify right side
    12,048.79x = 125,843,327.20
  5. Step 5: Solve for x
    x = 125,843,327.20/12,048.79
  6. Step 6: Final answer
    x = 10,444.48

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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.