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Finding the Fourth Proportional to 28,541.46, 42,812.28 and 7,764.96

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Solution

The fourth proportional to 28,541.46, 42,812.28 and 7,764.96 is: 11,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,541.46 : 42,812.28 = 7,764.96 : x
  2. Step 2: Convert to fraction form
    28,541.46/42,812.28 = 7,764.96/x
  3. Step 3: Cross multiply
    28,541.46x = 42,812.28 × 7,764.96
  4. Step 4: Simplify right side
    28,541.46x = 332,435,641.71
  5. Step 5: Solve for x
    x = 332,435,641.71/28,541.46
  6. Step 6: Final answer
    x = 11,647.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.