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Finding the Fourth Proportional to 10,465.18, 14,441.88 and 5,749.54

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Solution

The fourth proportional to 10,465.18, 14,441.88 and 5,749.54 is: 7,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.18 : 14,441.88 = 5,749.54 : x
  2. Step 2: Convert to fraction form
    10,465.18/14,441.88 = 5,749.54/x
  3. Step 3: Cross multiply
    10,465.18x = 14,441.88 × 5,749.54
  4. Step 4: Simplify right side
    10,465.18x = 83,034,166.74
  5. Step 5: Solve for x
    x = 83,034,166.74/10,465.18
  6. Step 6: Final answer
    x = 7,934.33

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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.