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Finding the Fourth Proportional to 7,632.12, 10,533.20 and 4,649.70

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Solution

The fourth proportional to 7,632.12, 10,533.20 and 4,649.70 is: 6,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.12 : 10,533.20 = 4,649.70 : x
  2. Step 2: Convert to fraction form
    7,632.12/10,533.20 = 4,649.70/x
  3. Step 3: Cross multiply
    7,632.12x = 10,533.20 × 4,649.70
  4. Step 4: Simplify right side
    7,632.12x = 48,976,196.79
  5. Step 5: Solve for x
    x = 48,976,196.79/7,632.12
  6. Step 6: Final answer
    x = 6,417.12

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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.