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Finding the Fourth Proportional to 7,530.71, 10,392.10 and 4,546.26

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Solution

The fourth proportional to 7,530.71, 10,392.10 and 4,546.26 is: 6,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.71 : 10,392.10 = 4,546.26 : x
  2. Step 2: Convert to fraction form
    7,530.71/10,392.10 = 4,546.26/x
  3. Step 3: Cross multiply
    7,530.71x = 10,392.10 × 4,546.26
  4. Step 4: Simplify right side
    7,530.71x = 47,245,177.18
  5. Step 5: Solve for x
    x = 47,245,177.18/7,530.71
  6. Step 6: Final answer
    x = 6,273.67

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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.