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Finding the Fourth Proportional to 10,547.88, 15,821.41 and 2,650.46

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Solution

The fourth proportional to 10,547.88, 15,821.41 and 2,650.46 is: 3,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.88 : 15,821.41 = 2,650.46 : x
  2. Step 2: Convert to fraction form
    10,547.88/15,821.41 = 2,650.46/x
  3. Step 3: Cross multiply
    10,547.88x = 15,821.41 × 2,650.46
  4. Step 4: Simplify right side
    10,547.88x = 41,934,014.35
  5. Step 5: Solve for x
    x = 41,934,014.35/10,547.88
  6. Step 6: Final answer
    x = 3,975.59

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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.