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Finding the Fourth Proportional to 11,401.04, 15,735 and 6,686.84

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Solution

The fourth proportional to 11,401.04, 15,735 and 6,686.84 is: 9,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.04 : 15,735 = 6,686.84 : x
  2. Step 2: Convert to fraction form
    11,401.04/15,735 = 6,686.84/x
  3. Step 3: Cross multiply
    11,401.04x = 15,735 × 6,686.84
  4. Step 4: Simplify right side
    11,401.04x = 105,217,427.40
  5. Step 5: Solve for x
    x = 105,217,427.40/11,401.04
  6. Step 6: Final answer
    x = 9,228.76

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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.