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Finding the Fourth Proportional to 7,841.36, 10,820.40 and 4,483.10

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Solution

The fourth proportional to 7,841.36, 10,820.40 and 4,483.10 is: 6,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.36 : 10,820.40 = 4,483.10 : x
  2. Step 2: Convert to fraction form
    7,841.36/10,820.40 = 4,483.10/x
  3. Step 3: Cross multiply
    7,841.36x = 10,820.40 × 4,483.10
  4. Step 4: Simplify right side
    7,841.36x = 48,508,935.24
  5. Step 5: Solve for x
    x = 48,508,935.24/7,841.36
  6. Step 6: Final answer
    x = 6,186.29

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