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Finding the Fourth Proportional to 7,709.01, 11,582.54 and 4,936.89

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Solution

The fourth proportional to 7,709.01, 11,582.54 and 4,936.89 is: 7,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.01 : 11,582.54 = 4,936.89 : x
  2. Step 2: Convert to fraction form
    7,709.01/11,582.54 = 4,936.89/x
  3. Step 3: Cross multiply
    7,709.01x = 11,582.54 × 4,936.89
  4. Step 4: Simplify right side
    7,709.01x = 57,181,701.22
  5. Step 5: Solve for x
    x = 57,181,701.22/7,709.01
  6. Step 6: Final answer
    x = 7,417.52

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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.