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Finding the Fourth Proportional to 7,801.29, 11,701.48 and 2,254.51

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Solution

The fourth proportional to 7,801.29, 11,701.48 and 2,254.51 is: 3,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.29 : 11,701.48 = 2,254.51 : x
  2. Step 2: Convert to fraction form
    7,801.29/11,701.48 = 2,254.51/x
  3. Step 3: Cross multiply
    7,801.29x = 11,701.48 × 2,254.51
  4. Step 4: Simplify right side
    7,801.29x = 26,381,074.47
  5. Step 5: Solve for x
    x = 26,381,074.47/7,801.29
  6. Step 6: Final answer
    x = 3,381.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.