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Finding the Fourth Proportional to 11,478.80, 15,841.56 and 6,443.51

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Solution

The fourth proportional to 11,478.80, 15,841.56 and 6,443.51 is: 8,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.80 : 15,841.56 = 6,443.51 : x
  2. Step 2: Convert to fraction form
    11,478.80/15,841.56 = 6,443.51/x
  3. Step 3: Cross multiply
    11,478.80x = 15,841.56 × 6,443.51
  4. Step 4: Simplify right side
    11,478.80x = 102,075,171.07
  5. Step 5: Solve for x
    x = 102,075,171.07/11,478.80
  6. Step 6: Final answer
    x = 8,892.50

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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.