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Finding the Fourth Proportional to 10,158, 14,023.80 and 7,669.68

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Solution

The fourth proportional to 10,158, 14,023.80 and 7,669.68 is: 10,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 14,023.80 = 7,669.68 : x
  2. Step 2: Convert to fraction form
    10,158/14,023.80 = 7,669.68/x
  3. Step 3: Cross multiply
    10,158x = 14,023.80 × 7,669.68
  4. Step 4: Simplify right side
    10,158x = 107,558,058.38
  5. Step 5: Solve for x
    x = 107,558,058.38/10,158
  6. Step 6: Final answer
    x = 10,588.51

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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.