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Finding the Fourth Proportional to 7,632.96, 10,534.80 and 4,489.28

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Solution

The fourth proportional to 7,632.96, 10,534.80 and 4,489.28 is: 6,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.96 : 10,534.80 = 4,489.28 : x
  2. Step 2: Convert to fraction form
    7,632.96/10,534.80 = 4,489.28/x
  3. Step 3: Cross multiply
    7,632.96x = 10,534.80 × 4,489.28
  4. Step 4: Simplify right side
    7,632.96x = 47,293,666.94
  5. Step 5: Solve for x
    x = 47,293,666.94/7,632.96
  6. Step 6: Final answer
    x = 6,195.98

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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.