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Finding the Fourth Proportional to 10,588.29, 14,605.48 and 7,003.33

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Solution

The fourth proportional to 10,588.29, 14,605.48 and 7,003.33 is: 9,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.29 : 14,605.48 = 7,003.33 : x
  2. Step 2: Convert to fraction form
    10,588.29/14,605.48 = 7,003.33/x
  3. Step 3: Cross multiply
    10,588.29x = 14,605.48 × 7,003.33
  4. Step 4: Simplify right side
    10,588.29x = 102,286,968.49
  5. Step 5: Solve for x
    x = 102,286,968.49/10,588.29
  6. Step 6: Final answer
    x = 9,660.39

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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.