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Finding the Fourth Proportional to 12,764.72, 17,612.71 and 7,458.51

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Solution

The fourth proportional to 12,764.72, 17,612.71 and 7,458.51 is: 10,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.72 : 17,612.71 = 7,458.51 : x
  2. Step 2: Convert to fraction form
    12,764.72/17,612.71 = 7,458.51/x
  3. Step 3: Cross multiply
    12,764.72x = 17,612.71 × 7,458.51
  4. Step 4: Simplify right side
    12,764.72x = 131,364,555.02
  5. Step 5: Solve for x
    x = 131,364,555.02/12,764.72
  6. Step 6: Final answer
    x = 10,291.22

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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.