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Finding the Fourth Proportional to 7,812.15, 11,706.48 and 3,127.52

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Solution

The fourth proportional to 7,812.15, 11,706.48 and 3,127.52 is: 4,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.15 : 11,706.48 = 3,127.52 : x
  2. Step 2: Convert to fraction form
    7,812.15/11,706.48 = 3,127.52/x
  3. Step 3: Cross multiply
    7,812.15x = 11,706.48 × 3,127.52
  4. Step 4: Simplify right side
    7,812.15x = 36,612,176.16
  5. Step 5: Solve for x
    x = 36,612,176.16/7,812.15
  6. Step 6: Final answer
    x = 4,686.57

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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.