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Finding the Fourth Proportional to 7,810.69, 10,778.79 and 4,225.65

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Solution

The fourth proportional to 7,810.69, 10,778.79 and 4,225.65 is: 5,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.69 : 10,778.79 = 4,225.65 : x
  2. Step 2: Convert to fraction form
    7,810.69/10,778.79 = 4,225.65/x
  3. Step 3: Cross multiply
    7,810.69x = 10,778.79 × 4,225.65
  4. Step 4: Simplify right side
    7,810.69x = 45,547,340.07
  5. Step 5: Solve for x
    x = 45,547,340.07/7,810.69
  6. Step 6: Final answer
    x = 5,831.41

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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.