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Finding the Fourth Proportional to 7,946.74, 10,968.10 and 4,590.10

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Solution

The fourth proportional to 7,946.74, 10,968.10 and 4,590.10 is: 6,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.74 : 10,968.10 = 4,590.10 : x
  2. Step 2: Convert to fraction form
    7,946.74/10,968.10 = 4,590.10/x
  3. Step 3: Cross multiply
    7,946.74x = 10,968.10 × 4,590.10
  4. Step 4: Simplify right side
    7,946.74x = 50,344,675.81
  5. Step 5: Solve for x
    x = 50,344,675.81/7,946.74
  6. Step 6: Final answer
    x = 6,335.26

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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.