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Finding the Fourth Proportional to 11,966.36, 17,905.80 and 7,038.32

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Solution

The fourth proportional to 11,966.36, 17,905.80 and 7,038.32 is: 10,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.36 : 17,905.80 = 7,038.32 : x
  2. Step 2: Convert to fraction form
    11,966.36/17,905.80 = 7,038.32/x
  3. Step 3: Cross multiply
    11,966.36x = 17,905.80 × 7,038.32
  4. Step 4: Simplify right side
    11,966.36x = 126,026,750.26
  5. Step 5: Solve for x
    x = 126,026,750.26/11,966.36
  6. Step 6: Final answer
    x = 10,531.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.