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Finding the Fourth Proportional to 11,411.91, 15,729.62 and 7,633.71

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Solution

The fourth proportional to 11,411.91, 15,729.62 and 7,633.71 is: 10,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.91 : 15,729.62 = 7,633.71 : x
  2. Step 2: Convert to fraction form
    11,411.91/15,729.62 = 7,633.71/x
  3. Step 3: Cross multiply
    11,411.91x = 15,729.62 × 7,633.71
  4. Step 4: Simplify right side
    11,411.91x = 120,075,319.32
  5. Step 5: Solve for x
    x = 120,075,319.32/11,411.91
  6. Step 6: Final answer
    x = 10,521.93

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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.