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Finding the Fourth Proportional to 12,271.36, 18,397.29 and 5,341

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Solution

The fourth proportional to 12,271.36, 18,397.29 and 5,341 is: 8,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.36 : 18,397.29 = 5,341 : x
  2. Step 2: Convert to fraction form
    12,271.36/18,397.29 = 5,341/x
  3. Step 3: Cross multiply
    12,271.36x = 18,397.29 × 5,341
  4. Step 4: Simplify right side
    12,271.36x = 98,259,925.89
  5. Step 5: Solve for x
    x = 98,259,925.89/12,271.36
  6. Step 6: Final answer
    x = 8,007.26

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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.