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Finding the Fourth Proportional to 7,558.72, 10,420 and 4,905.12

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Solution

The fourth proportional to 7,558.72, 10,420 and 4,905.12 is: 6,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.72 : 10,420 = 4,905.12 : x
  2. Step 2: Convert to fraction form
    7,558.72/10,420 = 4,905.12/x
  3. Step 3: Cross multiply
    7,558.72x = 10,420 × 4,905.12
  4. Step 4: Simplify right side
    7,558.72x = 51,111,350.40
  5. Step 5: Solve for x
    x = 51,111,350.40/7,558.72
  6. Step 6: Final answer
    x = 6,761.91

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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.