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Finding the Fourth Proportional to 7,880.10, 11,810.10 and 4,184.10

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Solution

The fourth proportional to 7,880.10, 11,810.10 and 4,184.10 is: 6,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.10 : 11,810.10 = 4,184.10 : x
  2. Step 2: Convert to fraction form
    7,880.10/11,810.10 = 4,184.10/x
  3. Step 3: Cross multiply
    7,880.10x = 11,810.10 × 4,184.10
  4. Step 4: Simplify right side
    7,880.10x = 49,414,639.41
  5. Step 5: Solve for x
    x = 49,414,639.41/7,880.10
  6. Step 6: Final answer
    x = 6,270.81

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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.