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Finding the Fourth Proportional to 10,891.36, 15,032.53 and 6,643.86

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Solution

The fourth proportional to 10,891.36, 15,032.53 and 6,643.86 is: 9,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.36 : 15,032.53 = 6,643.86 : x
  2. Step 2: Convert to fraction form
    10,891.36/15,032.53 = 6,643.86/x
  3. Step 3: Cross multiply
    10,891.36x = 15,032.53 × 6,643.86
  4. Step 4: Simplify right side
    10,891.36x = 99,874,024.77
  5. Step 5: Solve for x
    x = 99,874,024.77/10,891.36
  6. Step 6: Final answer
    x = 9,170.02

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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.