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Finding the Fourth Proportional to 11,315.16, 15,615.54 and 6,838.89

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Solution

The fourth proportional to 11,315.16, 15,615.54 and 6,838.89 is: 9,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.16 : 15,615.54 = 6,838.89 : x
  2. Step 2: Convert to fraction form
    11,315.16/15,615.54 = 6,838.89/x
  3. Step 3: Cross multiply
    11,315.16x = 15,615.54 × 6,838.89
  4. Step 4: Simplify right side
    11,315.16x = 106,792,960.35
  5. Step 5: Solve for x
    x = 106,792,960.35/11,315.16
  6. Step 6: Final answer
    x = 9,438.04

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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.