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Finding the Fourth Proportional to 10,273.71, 15,407.87 and 3,698.67

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Solution

The fourth proportional to 10,273.71, 15,407.87 and 3,698.67 is: 5,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.71 : 15,407.87 = 3,698.67 : x
  2. Step 2: Convert to fraction form
    10,273.71/15,407.87 = 3,698.67/x
  3. Step 3: Cross multiply
    10,273.71x = 15,407.87 × 3,698.67
  4. Step 4: Simplify right side
    10,273.71x = 56,988,608.04
  5. Step 5: Solve for x
    x = 56,988,608.04/10,273.71
  6. Step 6: Final answer
    x = 5,547.03

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