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Finding the Fourth Proportional to 11,293.50, 15,585.56 and 6,817.15

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Solution

The fourth proportional to 11,293.50, 15,585.56 and 6,817.15 is: 9,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.50 : 15,585.56 = 6,817.15 : x
  2. Step 2: Convert to fraction form
    11,293.50/15,585.56 = 6,817.15/x
  3. Step 3: Cross multiply
    11,293.50x = 15,585.56 × 6,817.15
  4. Step 4: Simplify right side
    11,293.50x = 106,249,100.35
  5. Step 5: Solve for x
    x = 106,249,100.35/11,293.50
  6. Step 6: Final answer
    x = 9,407.99

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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.