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Finding the Fourth Proportional to 7,971.71, 11,002.91 and 5,454.77

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Solution

The fourth proportional to 7,971.71, 11,002.91 and 5,454.77 is: 7,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.71 : 11,002.91 = 5,454.77 : x
  2. Step 2: Convert to fraction form
    7,971.71/11,002.91 = 5,454.77/x
  3. Step 3: Cross multiply
    7,971.71x = 11,002.91 × 5,454.77
  4. Step 4: Simplify right side
    7,971.71x = 60,018,261.09
  5. Step 5: Solve for x
    x = 60,018,261.09/7,971.71
  6. Step 6: Final answer
    x = 7,528.91

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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.