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Finding the Fourth Proportional to 11,848.77, 16,356.63 and 7,817.97

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Solution

The fourth proportional to 11,848.77, 16,356.63 and 7,817.97 is: 10,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.77 : 16,356.63 = 7,817.97 : x
  2. Step 2: Convert to fraction form
    11,848.77/16,356.63 = 7,817.97/x
  3. Step 3: Cross multiply
    11,848.77x = 16,356.63 × 7,817.97
  4. Step 4: Simplify right side
    11,848.77x = 127,875,642.64
  5. Step 5: Solve for x
    x = 127,875,642.64/11,848.77
  6. Step 6: Final answer
    x = 10,792.31

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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.