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Finding the Fourth Proportional to 11,032.72, 15,223.08 and 6,842

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Solution

The fourth proportional to 11,032.72, 15,223.08 and 6,842 is: 9,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.72 : 15,223.08 = 6,842 : x
  2. Step 2: Convert to fraction form
    11,032.72/15,223.08 = 6,842/x
  3. Step 3: Cross multiply
    11,032.72x = 15,223.08 × 6,842
  4. Step 4: Simplify right side
    11,032.72x = 104,156,313.36
  5. Step 5: Solve for x
    x = 104,156,313.36/11,032.72
  6. Step 6: Final answer
    x = 9,440.67

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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.