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Finding the Fourth Proportional to 11,289.90, 15,580.08 and 6,185.40

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Solution

The fourth proportional to 11,289.90, 15,580.08 and 6,185.40 is: 8,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.90 : 15,580.08 = 6,185.40 : x
  2. Step 2: Convert to fraction form
    11,289.90/15,580.08 = 6,185.40/x
  3. Step 3: Cross multiply
    11,289.90x = 15,580.08 × 6,185.40
  4. Step 4: Simplify right side
    11,289.90x = 96,369,026.83
  5. Step 5: Solve for x
    x = 96,369,026.83/11,289.90
  6. Step 6: Final answer
    x = 8,535.86

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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.