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Finding the Fourth Proportional to 11,681.75, 16,120.82 and 7,490

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Solution

The fourth proportional to 11,681.75, 16,120.82 and 7,490 is: 10,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.75 : 16,120.82 = 7,490 : x
  2. Step 2: Convert to fraction form
    11,681.75/16,120.82 = 7,490/x
  3. Step 3: Cross multiply
    11,681.75x = 16,120.82 × 7,490
  4. Step 4: Simplify right side
    11,681.75x = 120,744,941.80
  5. Step 5: Solve for x
    x = 120,744,941.80/11,681.75
  6. Step 6: Final answer
    x = 10,336.20

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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.