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Finding the Fourth Proportional to 10,810.71, 16,215.63 and 3,415.59

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Solution

The fourth proportional to 10,810.71, 16,215.63 and 3,415.59 is: 5,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.71 : 16,215.63 = 3,415.59 : x
  2. Step 2: Convert to fraction form
    10,810.71/16,215.63 = 3,415.59/x
  3. Step 3: Cross multiply
    10,810.71x = 16,215.63 × 3,415.59
  4. Step 4: Simplify right side
    10,810.71x = 55,385,943.67
  5. Step 5: Solve for x
    x = 55,385,943.67/10,810.71
  6. Step 6: Final answer
    x = 5,123.25

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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.