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Finding the Fourth Proportional to 10,357.66, 15,540.27 and 6,465.34

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Solution

The fourth proportional to 10,357.66, 15,540.27 and 6,465.34 is: 9,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.66 : 15,540.27 = 6,465.34 : x
  2. Step 2: Convert to fraction form
    10,357.66/15,540.27 = 6,465.34/x
  3. Step 3: Cross multiply
    10,357.66x = 15,540.27 × 6,465.34
  4. Step 4: Simplify right side
    10,357.66x = 100,473,129.24
  5. Step 5: Solve for x
    x = 100,473,129.24/10,357.66
  6. Step 6: Final answer
    x = 9,700.37

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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.