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Finding the Fourth Proportional to 10,695.56, 16,034.67 and 4,460.24

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Solution

The fourth proportional to 10,695.56, 16,034.67 and 4,460.24 is: 6,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.56 : 16,034.67 = 4,460.24 : x
  2. Step 2: Convert to fraction form
    10,695.56/16,034.67 = 4,460.24/x
  3. Step 3: Cross multiply
    10,695.56x = 16,034.67 × 4,460.24
  4. Step 4: Simplify right side
    10,695.56x = 71,518,396.35
  5. Step 5: Solve for x
    x = 71,518,396.35/10,695.56
  6. Step 6: Final answer
    x = 6,686.74

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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.