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Finding the Fourth Proportional to 10,465.29, 14,442.11 and 5,749.58

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Solution

The fourth proportional to 10,465.29, 14,442.11 and 5,749.58 is: 7,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.29 : 14,442.11 = 5,749.58 : x
  2. Step 2: Convert to fraction form
    10,465.29/14,442.11 = 5,749.58/x
  3. Step 3: Cross multiply
    10,465.29x = 14,442.11 × 5,749.58
  4. Step 4: Simplify right side
    10,465.29x = 83,035,965.86
  5. Step 5: Solve for x
    x = 83,035,965.86/10,465.29
  6. Step 6: Final answer
    x = 7,934.42

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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.