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Finding the Fourth Proportional to 13,075.06, 18,043.78 and 7,106.84

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Solution

The fourth proportional to 13,075.06, 18,043.78 and 7,106.84 is: 9,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.06 : 18,043.78 = 7,106.84 : x
  2. Step 2: Convert to fraction form
    13,075.06/18,043.78 = 7,106.84/x
  3. Step 3: Cross multiply
    13,075.06x = 18,043.78 × 7,106.84
  4. Step 4: Simplify right side
    13,075.06x = 128,234,257.46
  5. Step 5: Solve for x
    x = 128,234,257.46/13,075.06
  6. Step 6: Final answer
    x = 9,807.55

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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.