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Finding the Fourth Proportional to 11,407.83, 17,100.13 and 7,710.44

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Solution

The fourth proportional to 11,407.83, 17,100.13 and 7,710.44 is: 11,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.83 : 17,100.13 = 7,710.44 : x
  2. Step 2: Convert to fraction form
    11,407.83/17,100.13 = 7,710.44/x
  3. Step 3: Cross multiply
    11,407.83x = 17,100.13 × 7,710.44
  4. Step 4: Simplify right side
    11,407.83x = 131,849,440.86
  5. Step 5: Solve for x
    x = 131,849,440.86/11,407.83
  6. Step 6: Final answer
    x = 11,557.80

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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.