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Finding the Fourth Proportional to 7,573, 10,428.69 and 5,891.58

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Solution

The fourth proportional to 7,573, 10,428.69 and 5,891.58 is: 8,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573 : 10,428.69 = 5,891.58 : x
  2. Step 2: Convert to fraction form
    7,573/10,428.69 = 5,891.58/x
  3. Step 3: Cross multiply
    7,573x = 10,428.69 × 5,891.58
  4. Step 4: Simplify right side
    7,573x = 61,441,409.29
  5. Step 5: Solve for x
    x = 61,441,409.29/7,573
  6. Step 6: Final answer
    x = 8,113.22

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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.