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Finding the Fourth Proportional to 7,256.49, 10,014.76 and 4,070.31

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Solution

The fourth proportional to 7,256.49, 10,014.76 and 4,070.31 is: 5,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.49 : 10,014.76 = 4,070.31 : x
  2. Step 2: Convert to fraction form
    7,256.49/10,014.76 = 4,070.31/x
  3. Step 3: Cross multiply
    7,256.49x = 10,014.76 × 4,070.31
  4. Step 4: Simplify right side
    7,256.49x = 40,763,177.78
  5. Step 5: Solve for x
    x = 40,763,177.78/7,256.49
  6. Step 6: Final answer
    x = 5,617.48

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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.