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Finding the Fourth Proportional to 6,987.60, 10,478.04 and 4,066.80

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Solution

The fourth proportional to 6,987.60, 10,478.04 and 4,066.80 is: 6,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.60 : 10,478.04 = 4,066.80 : x
  2. Step 2: Convert to fraction form
    6,987.60/10,478.04 = 4,066.80/x
  3. Step 3: Cross multiply
    6,987.60x = 10,478.04 × 4,066.80
  4. Step 4: Simplify right side
    6,987.60x = 42,612,093.07
  5. Step 5: Solve for x
    x = 42,612,093.07/6,987.60
  6. Step 6: Final answer
    x = 6,098.24

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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.