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Finding the Fourth Proportional to 10,855.05, 14,980.77 and 6,075.47

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Solution

The fourth proportional to 10,855.05, 14,980.77 and 6,075.47 is: 8,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.05 : 14,980.77 = 6,075.47 : x
  2. Step 2: Convert to fraction form
    10,855.05/14,980.77 = 6,075.47/x
  3. Step 3: Cross multiply
    10,855.05x = 14,980.77 × 6,075.47
  4. Step 4: Simplify right side
    10,855.05x = 91,015,256.16
  5. Step 5: Solve for x
    x = 91,015,256.16/10,855.05
  6. Step 6: Final answer
    x = 8,384.60

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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.