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Finding the Fourth Proportional to 7,284.96, 10,053.72 and 4,141.44

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Solution

The fourth proportional to 7,284.96, 10,053.72 and 4,141.44 is: 5,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.96 : 10,053.72 = 4,141.44 : x
  2. Step 2: Convert to fraction form
    7,284.96/10,053.72 = 4,141.44/x
  3. Step 3: Cross multiply
    7,284.96x = 10,053.72 × 4,141.44
  4. Step 4: Simplify right side
    7,284.96x = 41,636,878.16
  5. Step 5: Solve for x
    x = 41,636,878.16/7,284.96
  6. Step 6: Final answer
    x = 5,715.46

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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.