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Finding the Fourth Proportional to 11,583.36, 15,988.92 and 7,221

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Solution

The fourth proportional to 11,583.36, 15,988.92 and 7,221 is: 9,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.36 : 15,988.92 = 7,221 : x
  2. Step 2: Convert to fraction form
    11,583.36/15,988.92 = 7,221/x
  3. Step 3: Cross multiply
    11,583.36x = 15,988.92 × 7,221
  4. Step 4: Simplify right side
    11,583.36x = 115,455,991.32
  5. Step 5: Solve for x
    x = 115,455,991.32/11,583.36
  6. Step 6: Final answer
    x = 9,967.40

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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.