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Finding the Fourth Proportional to 11,359.84, 17,031.36 and 3,564.16

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Solution

The fourth proportional to 11,359.84, 17,031.36 and 3,564.16 is: 5,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.84 : 17,031.36 = 3,564.16 : x
  2. Step 2: Convert to fraction form
    11,359.84/17,031.36 = 3,564.16/x
  3. Step 3: Cross multiply
    11,359.84x = 17,031.36 × 3,564.16
  4. Step 4: Simplify right side
    11,359.84x = 60,702,492.06
  5. Step 5: Solve for x
    x = 60,702,492.06/11,359.84
  6. Step 6: Final answer
    x = 5,343.60

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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.