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Finding the Fourth Proportional to 7,054.84, 10,582.26 and 4,856.95

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Solution

The fourth proportional to 7,054.84, 10,582.26 and 4,856.95 is: 7,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.84 : 10,582.26 = 4,856.95 : x
  2. Step 2: Convert to fraction form
    7,054.84/10,582.26 = 4,856.95/x
  3. Step 3: Cross multiply
    7,054.84x = 10,582.26 × 4,856.95
  4. Step 4: Simplify right side
    7,054.84x = 51,397,507.71
  5. Step 5: Solve for x
    x = 51,397,507.71/7,054.84
  6. Step 6: Final answer
    x = 7,285.43

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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.