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Finding the Fourth Proportional to 7,532.96, 10,395.51 and 4,175.84

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Solution

The fourth proportional to 7,532.96, 10,395.51 and 4,175.84 is: 5,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.96 : 10,395.51 = 4,175.84 : x
  2. Step 2: Convert to fraction form
    7,532.96/10,395.51 = 4,175.84/x
  3. Step 3: Cross multiply
    7,532.96x = 10,395.51 × 4,175.84
  4. Step 4: Simplify right side
    7,532.96x = 43,409,934.50
  5. Step 5: Solve for x
    x = 43,409,934.50/7,532.96
  6. Step 6: Final answer
    x = 5,762.67

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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.