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Finding the Fourth Proportional to 7,840.56, 10,818.24 and 4,652.28

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Solution

The fourth proportional to 7,840.56, 10,818.24 and 4,652.28 is: 6,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.56 : 10,818.24 = 4,652.28 : x
  2. Step 2: Convert to fraction form
    7,840.56/10,818.24 = 4,652.28/x
  3. Step 3: Cross multiply
    7,840.56x = 10,818.24 × 4,652.28
  4. Step 4: Simplify right side
    7,840.56x = 50,329,481.59
  5. Step 5: Solve for x
    x = 50,329,481.59/7,840.56
  6. Step 6: Final answer
    x = 6,419.12

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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.