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Finding the Fourth Proportional to 7,795.34, 10,757.50 and 4,258.58

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Solution

The fourth proportional to 7,795.34, 10,757.50 and 4,258.58 is: 5,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.34 : 10,757.50 = 4,258.58 : x
  2. Step 2: Convert to fraction form
    7,795.34/10,757.50 = 4,258.58/x
  3. Step 3: Cross multiply
    7,795.34x = 10,757.50 × 4,258.58
  4. Step 4: Simplify right side
    7,795.34x = 45,811,674.35
  5. Step 5: Solve for x
    x = 45,811,674.35/7,795.34
  6. Step 6: Final answer
    x = 5,876.80

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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.