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Finding the Fourth Proportional to 7,300.98, 10,075.35 and 4,157.16

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Solution

The fourth proportional to 7,300.98, 10,075.35 and 4,157.16 is: 5,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.98 : 10,075.35 = 4,157.16 : x
  2. Step 2: Convert to fraction form
    7,300.98/10,075.35 = 4,157.16/x
  3. Step 3: Cross multiply
    7,300.98x = 10,075.35 × 4,157.16
  4. Step 4: Simplify right side
    7,300.98x = 41,884,842.01
  5. Step 5: Solve for x
    x = 41,884,842.01/7,300.98
  6. Step 6: Final answer
    x = 5,736.88

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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.