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Finding the Fourth Proportional to 7,054.76, 10,582.16 and 2,894.02

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Solution

The fourth proportional to 7,054.76, 10,582.16 and 2,894.02 is: 4,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.76 : 10,582.16 = 2,894.02 : x
  2. Step 2: Convert to fraction form
    7,054.76/10,582.16 = 2,894.02/x
  3. Step 3: Cross multiply
    7,054.76x = 10,582.16 × 2,894.02
  4. Step 4: Simplify right side
    7,054.76x = 30,624,982.68
  5. Step 5: Solve for x
    x = 30,624,982.68/7,054.76
  6. Step 6: Final answer
    x = 4,341.04

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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.