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Finding the Fourth Proportional to 10,095.64, 15,143.22 and 3,075.64

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Solution

The fourth proportional to 10,095.64, 15,143.22 and 3,075.64 is: 4,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.64 : 15,143.22 = 3,075.64 : x
  2. Step 2: Convert to fraction form
    10,095.64/15,143.22 = 3,075.64/x
  3. Step 3: Cross multiply
    10,095.64x = 15,143.22 × 3,075.64
  4. Step 4: Simplify right side
    10,095.64x = 46,575,093.16
  5. Step 5: Solve for x
    x = 46,575,093.16/10,095.64
  6. Step 6: Final answer
    x = 4,613.39

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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.