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Finding the Fourth Proportional to 7,949.88, 10,971.06 and 4,365

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Solution

The fourth proportional to 7,949.88, 10,971.06 and 4,365 is: 6,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.88 : 10,971.06 = 4,365 : x
  2. Step 2: Convert to fraction form
    7,949.88/10,971.06 = 4,365/x
  3. Step 3: Cross multiply
    7,949.88x = 10,971.06 × 4,365
  4. Step 4: Simplify right side
    7,949.88x = 47,888,676.90
  5. Step 5: Solve for x
    x = 47,888,676.90/7,949.88
  6. Step 6: Final answer
    x = 6,023.82

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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.