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Finding the Fourth Proportional to 7,730.84, 10,668.62 and 4,543.28

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Solution

The fourth proportional to 7,730.84, 10,668.62 and 4,543.28 is: 6,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.84 : 10,668.62 = 4,543.28 : x
  2. Step 2: Convert to fraction form
    7,730.84/10,668.62 = 4,543.28/x
  3. Step 3: Cross multiply
    7,730.84x = 10,668.62 × 4,543.28
  4. Step 4: Simplify right side
    7,730.84x = 48,470,451.81
  5. Step 5: Solve for x
    x = 48,470,451.81/7,730.84
  6. Step 6: Final answer
    x = 6,269.76

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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.