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Finding the Fourth Proportional to 11,705.60, 16,153.68 and 7,228.32

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Solution

The fourth proportional to 11,705.60, 16,153.68 and 7,228.32 is: 9,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.60 : 16,153.68 = 7,228.32 : x
  2. Step 2: Convert to fraction form
    11,705.60/16,153.68 = 7,228.32/x
  3. Step 3: Cross multiply
    11,705.60x = 16,153.68 × 7,228.32
  4. Step 4: Simplify right side
    11,705.60x = 116,763,968.22
  5. Step 5: Solve for x
    x = 116,763,968.22/11,705.60
  6. Step 6: Final answer
    x = 9,975.05

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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.