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Finding the Fourth Proportional to 7,579.01, 11,357.80 and 5,703.66

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Solution

The fourth proportional to 7,579.01, 11,357.80 and 5,703.66 is: 8,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.01 : 11,357.80 = 5,703.66 : x
  2. Step 2: Convert to fraction form
    7,579.01/11,357.80 = 5,703.66/x
  3. Step 3: Cross multiply
    7,579.01x = 11,357.80 × 5,703.66
  4. Step 4: Simplify right side
    7,579.01x = 64,781,029.55
  5. Step 5: Solve for x
    x = 64,781,029.55/7,579.01
  6. Step 6: Final answer
    x = 8,547.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.