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Finding the Fourth Proportional to 7,858.34, 10,841.44 and 4,499.35

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Solution

The fourth proportional to 7,858.34, 10,841.44 and 4,499.35 is: 6,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.34 : 10,841.44 = 4,499.35 : x
  2. Step 2: Convert to fraction form
    7,858.34/10,841.44 = 4,499.35/x
  3. Step 3: Cross multiply
    7,858.34x = 10,841.44 × 4,499.35
  4. Step 4: Simplify right side
    7,858.34x = 48,779,410.57
  5. Step 5: Solve for x
    x = 48,779,410.57/7,858.34
  6. Step 6: Final answer
    x = 6,207.34

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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.