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Finding the Fourth Proportional to 7,815.75, 10,786.76 and 4,457.79

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Solution

The fourth proportional to 7,815.75, 10,786.76 and 4,457.79 is: 6,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.75 : 10,786.76 = 4,457.79 : x
  2. Step 2: Convert to fraction form
    7,815.75/10,786.76 = 4,457.79/x
  3. Step 3: Cross multiply
    7,815.75x = 10,786.76 × 4,457.79
  4. Step 4: Simplify right side
    7,815.75x = 48,085,176.75
  5. Step 5: Solve for x
    x = 48,085,176.75/7,815.75
  6. Step 6: Final answer
    x = 6,152.34

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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.