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Finding the Fourth Proportional to 7,978.74, 11,968.71 and 2,432.55

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Solution

The fourth proportional to 7,978.74, 11,968.71 and 2,432.55 is: 3,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.74 : 11,968.71 = 2,432.55 : x
  2. Step 2: Convert to fraction form
    7,978.74/11,968.71 = 2,432.55/x
  3. Step 3: Cross multiply
    7,978.74x = 11,968.71 × 2,432.55
  4. Step 4: Simplify right side
    7,978.74x = 29,114,485.51
  5. Step 5: Solve for x
    x = 29,114,485.51/7,978.74
  6. Step 6: Final answer
    x = 3,649.01

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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.