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Finding the Fourth Proportional to 8,838.19, 13,256.59 and 5,138.06

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Solution

The fourth proportional to 8,838.19, 13,256.59 and 5,138.06 is: 7,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.19 : 13,256.59 = 5,138.06 : x
  2. Step 2: Convert to fraction form
    8,838.19/13,256.59 = 5,138.06/x
  3. Step 3: Cross multiply
    8,838.19x = 13,256.59 × 5,138.06
  4. Step 4: Simplify right side
    8,838.19x = 68,113,062.84
  5. Step 5: Solve for x
    x = 68,113,062.84/8,838.19
  6. Step 6: Final answer
    x = 7,706.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.