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Finding the Fourth Proportional to 12,574.86, 18,862.29 and 3,810.66

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Solution

The fourth proportional to 12,574.86, 18,862.29 and 3,810.66 is: 5,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.86 : 18,862.29 = 3,810.66 : x
  2. Step 2: Convert to fraction form
    12,574.86/18,862.29 = 3,810.66/x
  3. Step 3: Cross multiply
    12,574.86x = 18,862.29 × 3,810.66
  4. Step 4: Simplify right side
    12,574.86x = 71,877,774.01
  5. Step 5: Solve for x
    x = 71,877,774.01/12,574.86
  6. Step 6: Final answer
    x = 5,715.99

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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.