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Finding the Fourth Proportional to 7,055.57, 10,582.49 and 4,095.63

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Solution

The fourth proportional to 7,055.57, 10,582.49 and 4,095.63 is: 6,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.57 : 10,582.49 = 4,095.63 : x
  2. Step 2: Convert to fraction form
    7,055.57/10,582.49 = 4,095.63/x
  3. Step 3: Cross multiply
    7,055.57x = 10,582.49 × 4,095.63
  4. Step 4: Simplify right side
    7,055.57x = 43,341,918.71
  5. Step 5: Solve for x
    x = 43,341,918.71/7,055.57
  6. Step 6: Final answer
    x = 6,142.94

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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.