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Finding the Fourth Proportional to 7,632.82, 10,533.68 and 4,275.64

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Solution

The fourth proportional to 7,632.82, 10,533.68 and 4,275.64 is: 5,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.82 : 10,533.68 = 4,275.64 : x
  2. Step 2: Convert to fraction form
    7,632.82/10,533.68 = 4,275.64/x
  3. Step 3: Cross multiply
    7,632.82x = 10,533.68 × 4,275.64
  4. Step 4: Simplify right side
    7,632.82x = 45,038,223.56
  5. Step 5: Solve for x
    x = 45,038,223.56/7,632.82
  6. Step 6: Final answer
    x = 5,900.60

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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.