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Finding the Fourth Proportional to 10,095.46, 15,143.80 and 3,075.99

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Solution

The fourth proportional to 10,095.46, 15,143.80 and 3,075.99 is: 4,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.46 : 15,143.80 = 3,075.99 : x
  2. Step 2: Convert to fraction form
    10,095.46/15,143.80 = 3,075.99/x
  3. Step 3: Cross multiply
    10,095.46x = 15,143.80 × 3,075.99
  4. Step 4: Simplify right side
    10,095.46x = 46,582,177.36
  5. Step 5: Solve for x
    x = 46,582,177.36/10,095.46
  6. Step 6: Final answer
    x = 4,614.17

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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.