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Finding the Fourth Proportional to 11,461.71, 17,197.74 and 7,300.64

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Solution

The fourth proportional to 11,461.71, 17,197.74 and 7,300.64 is: 10,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.71 : 17,197.74 = 7,300.64 : x
  2. Step 2: Convert to fraction form
    11,461.71/17,197.74 = 7,300.64/x
  3. Step 3: Cross multiply
    11,461.71x = 17,197.74 × 7,300.64
  4. Step 4: Simplify right side
    11,461.71x = 125,554,551.55
  5. Step 5: Solve for x
    x = 125,554,551.55/11,461.71
  6. Step 6: Final answer
    x = 10,954.26

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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.