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Finding the Fourth Proportional to 8,838.72, 13,258 and 2,264.81

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Solution

The fourth proportional to 8,838.72, 13,258 and 2,264.81 is: 3,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.72 : 13,258 = 2,264.81 : x
  2. Step 2: Convert to fraction form
    8,838.72/13,258 = 2,264.81/x
  3. Step 3: Cross multiply
    8,838.72x = 13,258 × 2,264.81
  4. Step 4: Simplify right side
    8,838.72x = 30,026,817.84
  5. Step 5: Solve for x
    x = 30,026,817.84/8,838.72
  6. Step 6: Final answer
    x = 3,397.19

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Why These Related Problems?

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