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Finding the Fourth Proportional to 8,242.60, 11,375.58 and 4,706.08

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Solution

The fourth proportional to 8,242.60, 11,375.58 and 4,706.08 is: 6,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.60 : 11,375.58 = 4,706.08 : x
  2. Step 2: Convert to fraction form
    8,242.60/11,375.58 = 4,706.08/x
  3. Step 3: Cross multiply
    8,242.60x = 11,375.58 × 4,706.08
  4. Step 4: Simplify right side
    8,242.60x = 53,534,389.53
  5. Step 5: Solve for x
    x = 53,534,389.53/8,242.60
  6. Step 6: Final answer
    x = 6,494.84

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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.