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Finding the Fourth Proportional to 7,302.29, 10,075.19 and 4,652.37

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Solution

The fourth proportional to 7,302.29, 10,075.19 and 4,652.37 is: 6,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.29 : 10,075.19 = 4,652.37 : x
  2. Step 2: Convert to fraction form
    7,302.29/10,075.19 = 4,652.37/x
  3. Step 3: Cross multiply
    7,302.29x = 10,075.19 × 4,652.37
  4. Step 4: Simplify right side
    7,302.29x = 46,873,488.44
  5. Step 5: Solve for x
    x = 46,873,488.44/7,302.29
  6. Step 6: Final answer
    x = 6,419.02

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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.