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Finding the Fourth Proportional to 10,442.04, 14,410.20 and 5,726.28

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Solution

The fourth proportional to 10,442.04, 14,410.20 and 5,726.28 is: 7,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.04 : 14,410.20 = 5,726.28 : x
  2. Step 2: Convert to fraction form
    10,442.04/14,410.20 = 5,726.28/x
  3. Step 3: Cross multiply
    10,442.04x = 14,410.20 × 5,726.28
  4. Step 4: Simplify right side
    10,442.04x = 82,516,840.06
  5. Step 5: Solve for x
    x = 82,516,840.06/10,442.04
  6. Step 6: Final answer
    x = 7,902.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.