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Finding the Fourth Proportional to 10,055.57, 13,877.06 and 6,075.92

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Solution

The fourth proportional to 10,055.57, 13,877.06 and 6,075.92 is: 8,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.57 : 13,877.06 = 6,075.92 : x
  2. Step 2: Convert to fraction form
    10,055.57/13,877.06 = 6,075.92/x
  3. Step 3: Cross multiply
    10,055.57x = 13,877.06 × 6,075.92
  4. Step 4: Simplify right side
    10,055.57x = 84,315,806.63
  5. Step 5: Solve for x
    x = 84,315,806.63/10,055.57
  6. Step 6: Final answer
    x = 8,384.99

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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.