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Finding the Fourth Proportional to 10,649.04, 15,975.72 and 4,075.44

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Solution

The fourth proportional to 10,649.04, 15,975.72 and 4,075.44 is: 6,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.04 : 15,975.72 = 4,075.44 : x
  2. Step 2: Convert to fraction form
    10,649.04/15,975.72 = 4,075.44/x
  3. Step 3: Cross multiply
    10,649.04x = 15,975.72 × 4,075.44
  4. Step 4: Simplify right side
    10,649.04x = 65,108,088.32
  5. Step 5: Solve for x
    x = 65,108,088.32/10,649.04
  6. Step 6: Final answer
    x = 6,113.99

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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.