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Finding the Fourth Proportional to 8,056.65, 12,084.50 and 4,790.53

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Solution

The fourth proportional to 8,056.65, 12,084.50 and 4,790.53 is: 7,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.65 : 12,084.50 = 4,790.53 : x
  2. Step 2: Convert to fraction form
    8,056.65/12,084.50 = 4,790.53/x
  3. Step 3: Cross multiply
    8,056.65x = 12,084.50 × 4,790.53
  4. Step 4: Simplify right side
    8,056.65x = 57,891,159.79
  5. Step 5: Solve for x
    x = 57,891,159.79/8,056.65
  6. Step 6: Final answer
    x = 7,185.51

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Why These Related Problems?

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