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Finding the Fourth Proportional to 7,665.28, 10,578.30 and 4,308.40

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Solution

The fourth proportional to 7,665.28, 10,578.30 and 4,308.40 is: 5,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.28 : 10,578.30 = 4,308.40 : x
  2. Step 2: Convert to fraction form
    7,665.28/10,578.30 = 4,308.40/x
  3. Step 3: Cross multiply
    7,665.28x = 10,578.30 × 4,308.40
  4. Step 4: Simplify right side
    7,665.28x = 45,575,547.72
  5. Step 5: Solve for x
    x = 45,575,547.72/7,665.28
  6. Step 6: Final answer
    x = 5,945.71

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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.