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Finding the Fourth Proportional to 7,065.53, 9,738.61 and 5,363.51

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Solution

The fourth proportional to 7,065.53, 9,738.61 and 5,363.51 is: 7,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.53 : 9,738.61 = 5,363.51 : x
  2. Step 2: Convert to fraction form
    7,065.53/9,738.61 = 5,363.51/x
  3. Step 3: Cross multiply
    7,065.53x = 9,738.61 × 5,363.51
  4. Step 4: Simplify right side
    7,065.53x = 52,233,132.12
  5. Step 5: Solve for x
    x = 52,233,132.12/7,065.53
  6. Step 6: Final answer
    x = 7,392.68

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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.