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Finding the Fourth Proportional to 11,430.73, 15,774.59 and 6,395.17

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Solution

The fourth proportional to 11,430.73, 15,774.59 and 6,395.17 is: 8,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.73 : 15,774.59 = 6,395.17 : x
  2. Step 2: Convert to fraction form
    11,430.73/15,774.59 = 6,395.17/x
  3. Step 3: Cross multiply
    11,430.73x = 15,774.59 × 6,395.17
  4. Step 4: Simplify right side
    11,430.73x = 100,881,184.73
  5. Step 5: Solve for x
    x = 100,881,184.73/11,430.73
  6. Step 6: Final answer
    x = 8,825.44

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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.