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Finding the Fourth Proportional to 12,364.97, 17,069.58 and 7,058.77

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Solution

The fourth proportional to 12,364.97, 17,069.58 and 7,058.77 is: 9,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.97 : 17,069.58 = 7,058.77 : x
  2. Step 2: Convert to fraction form
    12,364.97/17,069.58 = 7,058.77/x
  3. Step 3: Cross multiply
    12,364.97x = 17,069.58 × 7,058.77
  4. Step 4: Simplify right side
    12,364.97x = 120,490,136.22
  5. Step 5: Solve for x
    x = 120,490,136.22/12,364.97
  6. Step 6: Final answer
    x = 9,744.47

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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.