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Finding the Fourth Proportional to 10,005.43, 14,995.16 and 4,075.42

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Solution

The fourth proportional to 10,005.43, 14,995.16 and 4,075.42 is: 6,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.43 : 14,995.16 = 4,075.42 : x
  2. Step 2: Convert to fraction form
    10,005.43/14,995.16 = 4,075.42/x
  3. Step 3: Cross multiply
    10,005.43x = 14,995.16 × 4,075.42
  4. Step 4: Simplify right side
    10,005.43x = 61,111,479.61
  5. Step 5: Solve for x
    x = 61,111,479.61/10,005.43
  6. Step 6: Final answer
    x = 6,107.83

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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.