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Finding the Fourth Proportional to 7,790.80, 11,688.93 and 4,865.68

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Solution

The fourth proportional to 7,790.80, 11,688.93 and 4,865.68 is: 7,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.80 : 11,688.93 = 4,865.68 : x
  2. Step 2: Convert to fraction form
    7,790.80/11,688.93 = 4,865.68/x
  3. Step 3: Cross multiply
    7,790.80x = 11,688.93 × 4,865.68
  4. Step 4: Simplify right side
    7,790.80x = 56,874,592.92
  5. Step 5: Solve for x
    x = 56,874,592.92/7,790.80
  6. Step 6: Final answer
    x = 7,300.22

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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.