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Finding the Fourth Proportional to 10,444.44, 15,674.31 and 6,501.47

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Solution

The fourth proportional to 10,444.44, 15,674.31 and 6,501.47 is: 9,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.44 : 15,674.31 = 6,501.47 : x
  2. Step 2: Convert to fraction form
    10,444.44/15,674.31 = 6,501.47/x
  3. Step 3: Cross multiply
    10,444.44x = 15,674.31 × 6,501.47
  4. Step 4: Simplify right side
    10,444.44x = 101,905,977.86
  5. Step 5: Solve for x
    x = 101,905,977.86/10,444.44
  6. Step 6: Final answer
    x = 9,756.96

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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.