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Finding the Fourth Proportional to 10,369.60, 14,298.73 and 7,006.57

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Solution

The fourth proportional to 10,369.60, 14,298.73 and 7,006.57 is: 9,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.60 : 14,298.73 = 7,006.57 : x
  2. Step 2: Convert to fraction form
    10,369.60/14,298.73 = 7,006.57/x
  3. Step 3: Cross multiply
    10,369.60x = 14,298.73 × 7,006.57
  4. Step 4: Simplify right side
    10,369.60x = 100,184,999.39
  5. Step 5: Solve for x
    x = 100,184,999.39/10,369.60
  6. Step 6: Final answer
    x = 9,661.42

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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.