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Finding the Fourth Proportional to 11,031.84, 16,547.36 and 5,194.88

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Solution

The fourth proportional to 11,031.84, 16,547.36 and 5,194.88 is: 7,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.84 : 16,547.36 = 5,194.88 : x
  2. Step 2: Convert to fraction form
    11,031.84/16,547.36 = 5,194.88/x
  3. Step 3: Cross multiply
    11,031.84x = 16,547.36 × 5,194.88
  4. Step 4: Simplify right side
    11,031.84x = 85,961,549.52
  5. Step 5: Solve for x
    x = 85,961,549.52/11,031.84
  6. Step 6: Final answer
    x = 7,792.13

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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.