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Finding the Fourth Proportional to 10,378.80, 14,334.66 and 7,558.74

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Solution

The fourth proportional to 10,378.80, 14,334.66 and 7,558.74 is: 10,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.80 : 14,334.66 = 7,558.74 : x
  2. Step 2: Convert to fraction form
    10,378.80/14,334.66 = 7,558.74/x
  3. Step 3: Cross multiply
    10,378.80x = 14,334.66 × 7,558.74
  4. Step 4: Simplify right side
    10,378.80x = 108,351,967.93
  5. Step 5: Solve for x
    x = 108,351,967.93/10,378.80
  6. Step 6: Final answer
    x = 10,439.74

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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.