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Finding the Fourth Proportional to 7,048.08, 9,726 and 4,064.04

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Solution

The fourth proportional to 7,048.08, 9,726 and 4,064.04 is: 5,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.08 : 9,726 = 4,064.04 : x
  2. Step 2: Convert to fraction form
    7,048.08/9,726 = 4,064.04/x
  3. Step 3: Cross multiply
    7,048.08x = 9,726 × 4,064.04
  4. Step 4: Simplify right side
    7,048.08x = 39,526,853.04
  5. Step 5: Solve for x
    x = 39,526,853.04/7,048.08
  6. Step 6: Final answer
    x = 5,608.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.