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Finding the Fourth Proportional to 7,863.19, 11,783.76 and 4,354.81

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Solution

The fourth proportional to 7,863.19, 11,783.76 and 4,354.81 is: 6,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.19 : 11,783.76 = 4,354.81 : x
  2. Step 2: Convert to fraction form
    7,863.19/11,783.76 = 4,354.81/x
  3. Step 3: Cross multiply
    7,863.19x = 11,783.76 × 4,354.81
  4. Step 4: Simplify right side
    7,863.19x = 51,316,035.89
  5. Step 5: Solve for x
    x = 51,316,035.89/7,863.19
  6. Step 6: Final answer
    x = 6,526.11

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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.