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Finding the Fourth Proportional to 11,829.58, 16,331.46 and 7,856.08

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Solution

The fourth proportional to 11,829.58, 16,331.46 and 7,856.08 is: 10,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.58 : 16,331.46 = 7,856.08 : x
  2. Step 2: Convert to fraction form
    11,829.58/16,331.46 = 7,856.08/x
  3. Step 3: Cross multiply
    11,829.58x = 16,331.46 × 7,856.08
  4. Step 4: Simplify right side
    11,829.58x = 128,301,256.28
  5. Step 5: Solve for x
    x = 128,301,256.28/11,829.58
  6. Step 6: Final answer
    x = 10,845.80

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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.