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Finding the Fourth Proportional to 6,930.92, 10,381.20 and 4,457.72

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Solution

The fourth proportional to 6,930.92, 10,381.20 and 4,457.72 is: 6,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.92 : 10,381.20 = 4,457.72 : x
  2. Step 2: Convert to fraction form
    6,930.92/10,381.20 = 4,457.72/x
  3. Step 3: Cross multiply
    6,930.92x = 10,381.20 × 4,457.72
  4. Step 4: Simplify right side
    6,930.92x = 46,276,482.86
  5. Step 5: Solve for x
    x = 46,276,482.86/6,930.92
  6. Step 6: Final answer
    x = 6,676.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.