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Finding the Fourth Proportional to 7,297.23, 10,066.10 and 4,779.75

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Solution

The fourth proportional to 7,297.23, 10,066.10 and 4,779.75 is: 6,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.23 : 10,066.10 = 4,779.75 : x
  2. Step 2: Convert to fraction form
    7,297.23/10,066.10 = 4,779.75/x
  3. Step 3: Cross multiply
    7,297.23x = 10,066.10 × 4,779.75
  4. Step 4: Simplify right side
    7,297.23x = 48,113,417.58
  5. Step 5: Solve for x
    x = 48,113,417.58/7,297.23
  6. Step 6: Final answer
    x = 6,593.38

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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.