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Finding the Fourth Proportional to 8,415.32, 12,615.78 and 4,714.52

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Solution

The fourth proportional to 8,415.32, 12,615.78 and 4,714.52 is: 7,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.32 : 12,615.78 = 4,714.52 : x
  2. Step 2: Convert to fraction form
    8,415.32/12,615.78 = 4,714.52/x
  3. Step 3: Cross multiply
    8,415.32x = 12,615.78 × 4,714.52
  4. Step 4: Simplify right side
    8,415.32x = 59,477,347.13
  5. Step 5: Solve for x
    x = 59,477,347.13/8,415.32
  6. Step 6: Final answer
    x = 7,067.75

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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.