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Finding the Fourth Proportional to 8,242.54, 11,374.40 and 4,705.60

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Solution

The fourth proportional to 8,242.54, 11,374.40 and 4,705.60 is: 6,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.54 : 11,374.40 = 4,705.60 : x
  2. Step 2: Convert to fraction form
    8,242.54/11,374.40 = 4,705.60/x
  3. Step 3: Cross multiply
    8,242.54x = 11,374.40 × 4,705.60
  4. Step 4: Simplify right side
    8,242.54x = 53,523,376.64
  5. Step 5: Solve for x
    x = 53,523,376.64/8,242.54
  6. Step 6: Final answer
    x = 6,493.55

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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.