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Finding the Fourth Proportional to 10,712.22, 14,782.53 and 6,174.91

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Solution

The fourth proportional to 10,712.22, 14,782.53 and 6,174.91 is: 8,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.22 : 14,782.53 = 6,174.91 : x
  2. Step 2: Convert to fraction form
    10,712.22/14,782.53 = 6,174.91/x
  3. Step 3: Cross multiply
    10,712.22x = 14,782.53 × 6,174.91
  4. Step 4: Simplify right side
    10,712.22x = 91,280,792.32
  5. Step 5: Solve for x
    x = 91,280,792.32/10,712.22
  6. Step 6: Final answer
    x = 8,521.18

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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.