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Finding the Fourth Proportional to 10,654.97, 14,708.86 and 7,075.58

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Solution

The fourth proportional to 10,654.97, 14,708.86 and 7,075.58 is: 9,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.97 : 14,708.86 = 7,075.58 : x
  2. Step 2: Convert to fraction form
    10,654.97/14,708.86 = 7,075.58/x
  3. Step 3: Cross multiply
    10,654.97x = 14,708.86 × 7,075.58
  4. Step 4: Simplify right side
    10,654.97x = 104,073,624.41
  5. Step 5: Solve for x
    x = 104,073,624.41/10,654.97
  6. Step 6: Final answer
    x = 9,767.62

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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.