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Finding the Fourth Proportional to 10,761.39, 14,850.51 and 6,569.64

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Solution

The fourth proportional to 10,761.39, 14,850.51 and 6,569.64 is: 9,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.39 : 14,850.51 = 6,569.64 : x
  2. Step 2: Convert to fraction form
    10,761.39/14,850.51 = 6,569.64/x
  3. Step 3: Cross multiply
    10,761.39x = 14,850.51 × 6,569.64
  4. Step 4: Simplify right side
    10,761.39x = 97,562,504.52
  5. Step 5: Solve for x
    x = 97,562,504.52/10,761.39
  6. Step 6: Final answer
    x = 9,065.98

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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.