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Finding the Fourth Proportional to 10,075.17, 13,877.64 and 8,479.86

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Solution

The fourth proportional to 10,075.17, 13,877.64 and 8,479.86 is: 11,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.17 : 13,877.64 = 8,479.86 : x
  2. Step 2: Convert to fraction form
    10,075.17/13,877.64 = 8,479.86/x
  3. Step 3: Cross multiply
    10,075.17x = 13,877.64 × 8,479.86
  4. Step 4: Simplify right side
    10,075.17x = 117,680,444.33
  5. Step 5: Solve for x
    x = 117,680,444.33/10,075.17
  6. Step 6: Final answer
    x = 11,680.24

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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.