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Finding the Fourth Proportional to 11,430.10, 15,773.43 and 6,394.26

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Solution

The fourth proportional to 11,430.10, 15,773.43 and 6,394.26 is: 8,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.10 : 15,773.43 = 6,394.26 : x
  2. Step 2: Convert to fraction form
    11,430.10/15,773.43 = 6,394.26/x
  3. Step 3: Cross multiply
    11,430.10x = 15,773.43 × 6,394.26
  4. Step 4: Simplify right side
    11,430.10x = 100,859,412.51
  5. Step 5: Solve for x
    x = 100,859,412.51/11,430.10
  6. Step 6: Final answer
    x = 8,824.02

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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.