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Finding the Fourth Proportional to 7,457.80, 10,285.60 and 5,063.84

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Solution

The fourth proportional to 7,457.80, 10,285.60 and 5,063.84 is: 6,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.80 : 10,285.60 = 5,063.84 : x
  2. Step 2: Convert to fraction form
    7,457.80/10,285.60 = 5,063.84/x
  3. Step 3: Cross multiply
    7,457.80x = 10,285.60 × 5,063.84
  4. Step 4: Simplify right side
    7,457.80x = 52,084,632.70
  5. Step 5: Solve for x
    x = 52,084,632.70/7,457.80
  6. Step 6: Final answer
    x = 6,983.91

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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.