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Finding the Fourth Proportional to 7,849.03, 10,831.86 and 4,312.33

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Solution

The fourth proportional to 7,849.03, 10,831.86 and 4,312.33 is: 5,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.03 : 10,831.86 = 4,312.33 : x
  2. Step 2: Convert to fraction form
    7,849.03/10,831.86 = 4,312.33/x
  3. Step 3: Cross multiply
    7,849.03x = 10,831.86 × 4,312.33
  4. Step 4: Simplify right side
    7,849.03x = 46,710,479.11
  5. Step 5: Solve for x
    x = 46,710,479.11/7,849.03
  6. Step 6: Final answer
    x = 5,951.12

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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.