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Finding the Fourth Proportional to 8,424.07, 11,612.91 and 5,898.22

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Solution

The fourth proportional to 8,424.07, 11,612.91 and 5,898.22 is: 8,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.07 : 11,612.91 = 5,898.22 : x
  2. Step 2: Convert to fraction form
    8,424.07/11,612.91 = 5,898.22/x
  3. Step 3: Cross multiply
    8,424.07x = 11,612.91 × 5,898.22
  4. Step 4: Simplify right side
    8,424.07x = 68,495,498.02
  5. Step 5: Solve for x
    x = 68,495,498.02/8,424.07
  6. Step 6: Final answer
    x = 8,130.93

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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.