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Finding the Fourth Proportional to 7,830.36, 10,805.04 and 4,473.32

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Solution

The fourth proportional to 7,830.36, 10,805.04 and 4,473.32 is: 6,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.36 : 10,805.04 = 4,473.32 : x
  2. Step 2: Convert to fraction form
    7,830.36/10,805.04 = 4,473.32/x
  3. Step 3: Cross multiply
    7,830.36x = 10,805.04 × 4,473.32
  4. Step 4: Simplify right side
    7,830.36x = 48,334,347.51
  5. Step 5: Solve for x
    x = 48,334,347.51/7,830.36
  6. Step 6: Final answer
    x = 6,172.69

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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.