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Finding the Fourth Proportional to 7,378.05, 10,188.93 and 6,309.63

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Solution

The fourth proportional to 7,378.05, 10,188.93 and 6,309.63 is: 8,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.05 : 10,188.93 = 6,309.63 : x
  2. Step 2: Convert to fraction form
    7,378.05/10,188.93 = 6,309.63/x
  3. Step 3: Cross multiply
    7,378.05x = 10,188.93 × 6,309.63
  4. Step 4: Simplify right side
    7,378.05x = 64,288,378.40
  5. Step 5: Solve for x
    x = 64,288,378.40/7,378.05
  6. Step 6: Final answer
    x = 8,713.46

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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.