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Finding the Fourth Proportional to 7,284.65, 10,057.41 and 5,045.72

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Solution

The fourth proportional to 7,284.65, 10,057.41 and 5,045.72 is: 6,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.65 : 10,057.41 = 5,045.72 : x
  2. Step 2: Convert to fraction form
    7,284.65/10,057.41 = 5,045.72/x
  3. Step 3: Cross multiply
    7,284.65x = 10,057.41 × 5,045.72
  4. Step 4: Simplify right side
    7,284.65x = 50,746,824.50
  5. Step 5: Solve for x
    x = 50,746,824.50/7,284.65
  6. Step 6: Final answer
    x = 6,966.27

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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.