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Finding the Fourth Proportional to 8,047.84, 12,071.76 and 2,852.50

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Solution

The fourth proportional to 8,047.84, 12,071.76 and 2,852.50 is: 4,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.84 : 12,071.76 = 2,852.50 : x
  2. Step 2: Convert to fraction form
    8,047.84/12,071.76 = 2,852.50/x
  3. Step 3: Cross multiply
    8,047.84x = 12,071.76 × 2,852.50
  4. Step 4: Simplify right side
    8,047.84x = 34,434,695.40
  5. Step 5: Solve for x
    x = 34,434,695.40/8,047.84
  6. Step 6: Final answer
    x = 4,278.75

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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.