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Finding the Fourth Proportional to 10,620.54, 14,656.32 and 5,840.46

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Solution

The fourth proportional to 10,620.54, 14,656.32 and 5,840.46 is: 8,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.54 : 14,656.32 = 5,840.46 : x
  2. Step 2: Convert to fraction form
    10,620.54/14,656.32 = 5,840.46/x
  3. Step 3: Cross multiply
    10,620.54x = 14,656.32 × 5,840.46
  4. Step 4: Simplify right side
    10,620.54x = 85,599,650.71
  5. Step 5: Solve for x
    x = 85,599,650.71/10,620.54
  6. Step 6: Final answer
    x = 8,059.82

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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.