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Finding the Fourth Proportional to 7,114.34, 10,671.63 and 2,497.46

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Solution

The fourth proportional to 7,114.34, 10,671.63 and 2,497.46 is: 3,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.34 : 10,671.63 = 2,497.46 : x
  2. Step 2: Convert to fraction form
    7,114.34/10,671.63 = 2,497.46/x
  3. Step 3: Cross multiply
    7,114.34x = 10,671.63 × 2,497.46
  4. Step 4: Simplify right side
    7,114.34x = 26,651,969.06
  5. Step 5: Solve for x
    x = 26,651,969.06/7,114.34
  6. Step 6: Final answer
    x = 3,746.23

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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.