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Finding the Fourth Proportional to 12,740.84, 17,582.81 and 7,075.68

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Solution

The fourth proportional to 12,740.84, 17,582.81 and 7,075.68 is: 9,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.84 : 17,582.81 = 7,075.68 : x
  2. Step 2: Convert to fraction form
    12,740.84/17,582.81 = 7,075.68/x
  3. Step 3: Cross multiply
    12,740.84x = 17,582.81 × 7,075.68
  4. Step 4: Simplify right side
    12,740.84x = 124,410,354.75
  5. Step 5: Solve for x
    x = 124,410,354.75/12,740.84
  6. Step 6: Final answer
    x = 9,764.69

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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.