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Finding the Fourth Proportional to 11,465.49, 15,821.82 and 6,430.26

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Solution

The fourth proportional to 11,465.49, 15,821.82 and 6,430.26 is: 8,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.49 : 15,821.82 = 6,430.26 : x
  2. Step 2: Convert to fraction form
    11,465.49/15,821.82 = 6,430.26/x
  3. Step 3: Cross multiply
    11,465.49x = 15,821.82 × 6,430.26
  4. Step 4: Simplify right side
    11,465.49x = 101,738,416.27
  5. Step 5: Solve for x
    x = 101,738,416.27/11,465.49
  6. Step 6: Final answer
    x = 8,873.45

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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.