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Finding the Fourth Proportional to 6,275.97, 8,649.60 and 5,153.31

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Solution

The fourth proportional to 6,275.97, 8,649.60 and 5,153.31 is: 7,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.97 : 8,649.60 = 5,153.31 : x
  2. Step 2: Convert to fraction form
    6,275.97/8,649.60 = 5,153.31/x
  3. Step 3: Cross multiply
    6,275.97x = 8,649.60 × 5,153.31
  4. Step 4: Simplify right side
    6,275.97x = 44,574,070.18
  5. Step 5: Solve for x
    x = 44,574,070.18/6,275.97
  6. Step 6: Final answer
    x = 7,102.34

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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.