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Finding the Fourth Proportional to 10,802.61, 16,206.75 and 3,407.31

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Solution

The fourth proportional to 10,802.61, 16,206.75 and 3,407.31 is: 5,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.61 : 16,206.75 = 3,407.31 : x
  2. Step 2: Convert to fraction form
    10,802.61/16,206.75 = 3,407.31/x
  3. Step 3: Cross multiply
    10,802.61x = 16,206.75 × 3,407.31
  4. Step 4: Simplify right side
    10,802.61x = 55,221,421.34
  5. Step 5: Solve for x
    x = 55,221,421.34/10,802.61
  6. Step 6: Final answer
    x = 5,111.86

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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.