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Finding the Fourth Proportional to 12,598.74, 17,389.41 and 7,296.78

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Solution

The fourth proportional to 12,598.74, 17,389.41 and 7,296.78 is: 10,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.74 : 17,389.41 = 7,296.78 : x
  2. Step 2: Convert to fraction form
    12,598.74/17,389.41 = 7,296.78/x
  3. Step 3: Cross multiply
    12,598.74x = 17,389.41 × 7,296.78
  4. Step 4: Simplify right side
    12,598.74x = 126,886,699.10
  5. Step 5: Solve for x
    x = 126,886,699.10/12,598.74
  6. Step 6: Final answer
    x = 10,071.38

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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.