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Finding the Fourth Proportional to 10,559.46, 15,840.05 and 2,768.25

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Solution

The fourth proportional to 10,559.46, 15,840.05 and 2,768.25 is: 4,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.46 : 15,840.05 = 2,768.25 : x
  2. Step 2: Convert to fraction form
    10,559.46/15,840.05 = 2,768.25/x
  3. Step 3: Cross multiply
    10,559.46x = 15,840.05 × 2,768.25
  4. Step 4: Simplify right side
    10,559.46x = 43,849,204.57
  5. Step 5: Solve for x
    x = 43,849,204.57/10,559.46
  6. Step 6: Final answer
    x = 4,152.60

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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.