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Finding the Fourth Proportional to 12,358.31, 17,054.48 and 7,053.02

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Solution

The fourth proportional to 12,358.31, 17,054.48 and 7,053.02 is: 9,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.31 : 17,054.48 = 7,053.02 : x
  2. Step 2: Convert to fraction form
    12,358.31/17,054.48 = 7,053.02/x
  3. Step 3: Cross multiply
    12,358.31x = 17,054.48 × 7,053.02
  4. Step 4: Simplify right side
    12,358.31x = 120,285,467.99
  5. Step 5: Solve for x
    x = 120,285,467.99/12,358.31
  6. Step 6: Final answer
    x = 9,733.16

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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.