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Finding the Fourth Proportional to 7,075.44, 9,764.31 and 4,051.10

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Solution

The fourth proportional to 7,075.44, 9,764.31 and 4,051.10 is: 5,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.44 : 9,764.31 = 4,051.10 : x
  2. Step 2: Convert to fraction form
    7,075.44/9,764.31 = 4,051.10/x
  3. Step 3: Cross multiply
    7,075.44x = 9,764.31 × 4,051.10
  4. Step 4: Simplify right side
    7,075.44x = 39,556,196.24
  5. Step 5: Solve for x
    x = 39,556,196.24/7,075.44
  6. Step 6: Final answer
    x = 5,590.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.