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Finding the Fourth Proportional to 7,531.65, 10,393.82 and 4,546.80

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Solution

The fourth proportional to 7,531.65, 10,393.82 and 4,546.80 is: 6,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.65 : 10,393.82 = 4,546.80 : x
  2. Step 2: Convert to fraction form
    7,531.65/10,393.82 = 4,546.80/x
  3. Step 3: Cross multiply
    7,531.65x = 10,393.82 × 4,546.80
  4. Step 4: Simplify right side
    7,531.65x = 47,258,598.04
  5. Step 5: Solve for x
    x = 47,258,598.04/7,531.65
  6. Step 6: Final answer
    x = 6,274.67

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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.