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Finding the Fourth Proportional to 8,045.92, 12,085.80 and 4,927.36

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Solution

The fourth proportional to 8,045.92, 12,085.80 and 4,927.36 is: 7,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.92 : 12,085.80 = 4,927.36 : x
  2. Step 2: Convert to fraction form
    8,045.92/12,085.80 = 4,927.36/x
  3. Step 3: Cross multiply
    8,045.92x = 12,085.80 × 4,927.36
  4. Step 4: Simplify right side
    8,045.92x = 59,551,087.49
  5. Step 5: Solve for x
    x = 59,551,087.49/8,045.92
  6. Step 6: Final answer
    x = 7,401.40

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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.