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Finding the Fourth Proportional to 10,831.66, 14,939.70 and 6,848.93

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Solution

The fourth proportional to 10,831.66, 14,939.70 and 6,848.93 is: 9,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.66 : 14,939.70 = 6,848.93 : x
  2. Step 2: Convert to fraction form
    10,831.66/14,939.70 = 6,848.93/x
  3. Step 3: Cross multiply
    10,831.66x = 14,939.70 × 6,848.93
  4. Step 4: Simplify right side
    10,831.66x = 102,320,933.98
  5. Step 5: Solve for x
    x = 102,320,933.98/10,831.66
  6. Step 6: Final answer
    x = 9,446.47

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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.