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Finding the Fourth Proportional to 7,433.84, 10,260.06 and 5,075.12

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Solution

The fourth proportional to 7,433.84, 10,260.06 and 5,075.12 is: 7,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.84 : 10,260.06 = 5,075.12 : x
  2. Step 2: Convert to fraction form
    7,433.84/10,260.06 = 5,075.12/x
  3. Step 3: Cross multiply
    7,433.84x = 10,260.06 × 5,075.12
  4. Step 4: Simplify right side
    7,433.84x = 52,071,035.71
  5. Step 5: Solve for x
    x = 52,071,035.71/7,433.84
  6. Step 6: Final answer
    x = 7,004.59

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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.