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Finding the Fourth Proportional to 10,058.60, 13,831.64 and 8,729.99

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Solution

The fourth proportional to 10,058.60, 13,831.64 and 8,729.99 is: 12,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.60 : 13,831.64 = 8,729.99 : x
  2. Step 2: Convert to fraction form
    10,058.60/13,831.64 = 8,729.99/x
  3. Step 3: Cross multiply
    10,058.60x = 13,831.64 × 8,729.99
  4. Step 4: Simplify right side
    10,058.60x = 120,750,078.88
  5. Step 5: Solve for x
    x = 120,750,078.88/10,058.60
  6. Step 6: Final answer
    x = 12,004.67

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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.