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Finding the Fourth Proportional to 11,467.46, 15,823.14 and 6,430.88

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Solution

The fourth proportional to 11,467.46, 15,823.14 and 6,430.88 is: 8,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.46 : 15,823.14 = 6,430.88 : x
  2. Step 2: Convert to fraction form
    11,467.46/15,823.14 = 6,430.88/x
  3. Step 3: Cross multiply
    11,467.46x = 15,823.14 × 6,430.88
  4. Step 4: Simplify right side
    11,467.46x = 101,756,714.56
  5. Step 5: Solve for x
    x = 101,756,714.56/11,467.46
  6. Step 6: Final answer
    x = 8,873.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.