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Finding the Fourth Proportional to 11,361.60, 15,653.52 and 10,005.12

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Solution

The fourth proportional to 11,361.60, 15,653.52 and 10,005.12 is: 13,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.60 : 15,653.52 = 10,005.12 : x
  2. Step 2: Convert to fraction form
    11,361.60/15,653.52 = 10,005.12/x
  3. Step 3: Cross multiply
    11,361.60x = 15,653.52 × 10,005.12
  4. Step 4: Simplify right side
    11,361.60x = 156,615,346.02
  5. Step 5: Solve for x
    x = 156,615,346.02/11,361.60
  6. Step 6: Final answer
    x = 13,784.62

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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.