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Finding the Fourth Proportional to 10,482.95, 14,467.18 and 5,767.54

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Solution

The fourth proportional to 10,482.95, 14,467.18 and 5,767.54 is: 7,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.95 : 14,467.18 = 5,767.54 : x
  2. Step 2: Convert to fraction form
    10,482.95/14,467.18 = 5,767.54/x
  3. Step 3: Cross multiply
    10,482.95x = 14,467.18 × 5,767.54
  4. Step 4: Simplify right side
    10,482.95x = 83,439,988.75
  5. Step 5: Solve for x
    x = 83,439,988.75/10,482.95
  6. Step 6: Final answer
    x = 7,959.59

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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.