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Finding the Fourth Proportional to 13,810.86, 19,058.63 and 7,760.61

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Solution

The fourth proportional to 13,810.86, 19,058.63 and 7,760.61 is: 10,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.86 : 19,058.63 = 7,760.61 : x
  2. Step 2: Convert to fraction form
    13,810.86/19,058.63 = 7,760.61/x
  3. Step 3: Cross multiply
    13,810.86x = 19,058.63 × 7,760.61
  4. Step 4: Simplify right side
    13,810.86x = 147,906,555.76
  5. Step 5: Solve for x
    x = 147,906,555.76/13,810.86
  6. Step 6: Final answer
    x = 10,709.44

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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.