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Finding the Fourth Proportional to 6,987.84, 10,480.14 and 2,056.16

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Solution

The fourth proportional to 6,987.84, 10,480.14 and 2,056.16 is: 3,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.84 : 10,480.14 = 2,056.16 : x
  2. Step 2: Convert to fraction form
    6,987.84/10,480.14 = 2,056.16/x
  3. Step 3: Cross multiply
    6,987.84x = 10,480.14 × 2,056.16
  4. Step 4: Simplify right side
    6,987.84x = 21,548,792.26
  5. Step 5: Solve for x
    x = 21,548,792.26/6,987.84
  6. Step 6: Final answer
    x = 3,083.76

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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.