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Finding the Fourth Proportional to 7,723.89, 10,658.93 and 4,580.01

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Solution

The fourth proportional to 7,723.89, 10,658.93 and 4,580.01 is: 6,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.89 : 10,658.93 = 4,580.01 : x
  2. Step 2: Convert to fraction form
    7,723.89/10,658.93 = 4,580.01/x
  3. Step 3: Cross multiply
    7,723.89x = 10,658.93 × 4,580.01
  4. Step 4: Simplify right side
    7,723.89x = 48,817,983.09
  5. Step 5: Solve for x
    x = 48,817,983.09/7,723.89
  6. Step 6: Final answer
    x = 6,320.39

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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.