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Finding the Fourth Proportional to 10,648.64, 15,979.44 and 4,075.50

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Solution

The fourth proportional to 10,648.64, 15,979.44 and 4,075.50 is: 6,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.64 : 15,979.44 = 4,075.50 : x
  2. Step 2: Convert to fraction form
    10,648.64/15,979.44 = 4,075.50/x
  3. Step 3: Cross multiply
    10,648.64x = 15,979.44 × 4,075.50
  4. Step 4: Simplify right side
    10,648.64x = 65,124,207.72
  5. Step 5: Solve for x
    x = 65,124,207.72/10,648.64
  6. Step 6: Final answer
    x = 6,115.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.