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Finding the Fourth Proportional to 7,053.16, 10,578 and 2,894.35

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Solution

The fourth proportional to 7,053.16, 10,578 and 2,894.35 is: 4,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.16 : 10,578 = 2,894.35 : x
  2. Step 2: Convert to fraction form
    7,053.16/10,578 = 2,894.35/x
  3. Step 3: Cross multiply
    7,053.16x = 10,578 × 2,894.35
  4. Step 4: Simplify right side
    7,053.16x = 30,616,434.30
  5. Step 5: Solve for x
    x = 30,616,434.30/7,053.16
  6. Step 6: Final answer
    x = 4,340.81

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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.