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Finding the Fourth Proportional to 10,307.71, 14,226.69 and 5,831.47

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Solution

The fourth proportional to 10,307.71, 14,226.69 and 5,831.47 is: 8,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.71 : 14,226.69 = 5,831.47 : x
  2. Step 2: Convert to fraction form
    10,307.71/14,226.69 = 5,831.47/x
  3. Step 3: Cross multiply
    10,307.71x = 14,226.69 × 5,831.47
  4. Step 4: Simplify right side
    10,307.71x = 82,962,515.93
  5. Step 5: Solve for x
    x = 82,962,515.93/10,307.71
  6. Step 6: Final answer
    x = 8,048.59

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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.