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Finding the Fourth Proportional to 11,308.60, 15,605.50 and 6,831.57

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Solution

The fourth proportional to 11,308.60, 15,605.50 and 6,831.57 is: 9,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.60 : 15,605.50 = 6,831.57 : x
  2. Step 2: Convert to fraction form
    11,308.60/15,605.50 = 6,831.57/x
  3. Step 3: Cross multiply
    11,308.60x = 15,605.50 × 6,831.57
  4. Step 4: Simplify right side
    11,308.60x = 106,610,031.48
  5. Step 5: Solve for x
    x = 106,610,031.48/11,308.60
  6. Step 6: Final answer
    x = 9,427.34

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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.