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Finding the Fourth Proportional to 10,442.21, 14,409.98 and 5,726.19

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Solution

The fourth proportional to 10,442.21, 14,409.98 and 5,726.19 is: 7,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.21 : 14,409.98 = 5,726.19 : x
  2. Step 2: Convert to fraction form
    10,442.21/14,409.98 = 5,726.19/x
  3. Step 3: Cross multiply
    10,442.21x = 14,409.98 × 5,726.19
  4. Step 4: Simplify right side
    10,442.21x = 82,514,283.38
  5. Step 5: Solve for x
    x = 82,514,283.38/10,442.21
  6. Step 6: Final answer
    x = 7,901.99

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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.