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Finding the Fourth Proportional to 7,643.05, 10,547.27 and 4,285.86

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Solution

The fourth proportional to 7,643.05, 10,547.27 and 4,285.86 is: 5,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.05 : 10,547.27 = 4,285.86 : x
  2. Step 2: Convert to fraction form
    7,643.05/10,547.27 = 4,285.86/x
  3. Step 3: Cross multiply
    7,643.05x = 10,547.27 × 4,285.86
  4. Step 4: Simplify right side
    7,643.05x = 45,204,077.69
  5. Step 5: Solve for x
    x = 45,204,077.69/7,643.05
  6. Step 6: Final answer
    x = 5,914.40

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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.