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Finding the Fourth Proportional to 12,706.45, 19,061.70 and 5,307.10

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Solution

The fourth proportional to 12,706.45, 19,061.70 and 5,307.10 is: 7,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.45 : 19,061.70 = 5,307.10 : x
  2. Step 2: Convert to fraction form
    12,706.45/19,061.70 = 5,307.10/x
  3. Step 3: Cross multiply
    12,706.45x = 19,061.70 × 5,307.10
  4. Step 4: Simplify right side
    12,706.45x = 101,162,348.07
  5. Step 5: Solve for x
    x = 101,162,348.07/12,706.45
  6. Step 6: Final answer
    x = 7,961.50

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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.