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Finding the Fourth Proportional to 10,366.46, 15,544.74 and 4,742.45

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Solution

The fourth proportional to 10,366.46, 15,544.74 and 4,742.45 is: 7,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.46 : 15,544.74 = 4,742.45 : x
  2. Step 2: Convert to fraction form
    10,366.46/15,544.74 = 4,742.45/x
  3. Step 3: Cross multiply
    10,366.46x = 15,544.74 × 4,742.45
  4. Step 4: Simplify right side
    10,366.46x = 73,720,110.55
  5. Step 5: Solve for x
    x = 73,720,110.55/10,366.46
  6. Step 6: Final answer
    x = 7,111.41

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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.