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Finding the Fourth Proportional to 10,322.06, 14,238 and 8,592.93

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Solution

The fourth proportional to 10,322.06, 14,238 and 8,592.93 is: 11,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.06 : 14,238 = 8,592.93 : x
  2. Step 2: Convert to fraction form
    10,322.06/14,238 = 8,592.93/x
  3. Step 3: Cross multiply
    10,322.06x = 14,238 × 8,592.93
  4. Step 4: Simplify right side
    10,322.06x = 122,346,137.34
  5. Step 5: Solve for x
    x = 122,346,137.34/10,322.06
  6. Step 6: Final answer
    x = 11,852.89

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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.