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Finding the Fourth Proportional to 7,295.97, 10,945.33 and 2,365.00

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Solution

The fourth proportional to 7,295.97, 10,945.33 and 2,365.00 is: 3,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.97 : 10,945.33 = 2,365.00 : x
  2. Step 2: Convert to fraction form
    7,295.97/10,945.33 = 2,365.00/x
  3. Step 3: Cross multiply
    7,295.97x = 10,945.33 × 2,365.00
  4. Step 4: Simplify right side
    7,295.97x = 25,885,672.17
  5. Step 5: Solve for x
    x = 25,885,672.17/7,295.97
  6. Step 6: Final answer
    x = 3,547.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.