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Finding the Fourth Proportional to 11,430.96, 15,774.64 and 6,395.15

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Solution

The fourth proportional to 11,430.96, 15,774.64 and 6,395.15 is: 8,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.96 : 15,774.64 = 6,395.15 : x
  2. Step 2: Convert to fraction form
    11,430.96/15,774.64 = 6,395.15/x
  3. Step 3: Cross multiply
    11,430.96x = 15,774.64 × 6,395.15
  4. Step 4: Simplify right side
    11,430.96x = 100,881,189.00
  5. Step 5: Solve for x
    x = 100,881,189.00/11,430.96
  6. Step 6: Final answer
    x = 8,825.26

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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.