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Finding the Fourth Proportional to 7,461.17, 10,300.68 and 4,946.70

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Solution

The fourth proportional to 7,461.17, 10,300.68 and 4,946.70 is: 6,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.17 : 10,300.68 = 4,946.70 : x
  2. Step 2: Convert to fraction form
    7,461.17/10,300.68 = 4,946.70/x
  3. Step 3: Cross multiply
    7,461.17x = 10,300.68 × 4,946.70
  4. Step 4: Simplify right side
    7,461.17x = 50,954,388.82
  5. Step 5: Solve for x
    x = 50,954,388.82/7,461.17
  6. Step 6: Final answer
    x = 6,829.27

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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.