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Finding the Fourth Proportional to 7,643.14, 10,547.34 and 4,285.68

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Solution

The fourth proportional to 7,643.14, 10,547.34 and 4,285.68 is: 5,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.14 : 10,547.34 = 4,285.68 : x
  2. Step 2: Convert to fraction form
    7,643.14/10,547.34 = 4,285.68/x
  3. Step 3: Cross multiply
    7,643.14x = 10,547.34 × 4,285.68
  4. Step 4: Simplify right side
    7,643.14x = 45,202,524.09
  5. Step 5: Solve for x
    x = 45,202,524.09/7,643.14
  6. Step 6: Final answer
    x = 5,914.13

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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.