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Finding the Fourth Proportional to 10,356.66, 15,538.77 and 6,464.34

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Solution

The fourth proportional to 10,356.66, 15,538.77 and 6,464.34 is: 9,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.66 : 15,538.77 = 6,464.34 : x
  2. Step 2: Convert to fraction form
    10,356.66/15,538.77 = 6,464.34/x
  3. Step 3: Cross multiply
    10,356.66x = 15,538.77 × 6,464.34
  4. Step 4: Simplify right side
    10,356.66x = 100,447,892.46
  5. Step 5: Solve for x
    x = 100,447,892.46/10,356.66
  6. Step 6: Final answer
    x = 9,698.87

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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.