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Finding the Fourth Proportional to 7,657.48, 10,566.67 and 4,300.03

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Solution

The fourth proportional to 7,657.48, 10,566.67 and 4,300.03 is: 5,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.48 : 10,566.67 = 4,300.03 : x
  2. Step 2: Convert to fraction form
    7,657.48/10,566.67 = 4,300.03/x
  3. Step 3: Cross multiply
    7,657.48x = 10,566.67 × 4,300.03
  4. Step 4: Simplify right side
    7,657.48x = 45,436,923.67
  5. Step 5: Solve for x
    x = 45,436,923.67/7,657.48
  6. Step 6: Final answer
    x = 5,933.67

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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.