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Finding the Fourth Proportional to 10,307.34, 14,223.87 and 5,831.55

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Solution

The fourth proportional to 10,307.34, 14,223.87 and 5,831.55 is: 8,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.34 : 14,223.87 = 5,831.55 : x
  2. Step 2: Convert to fraction form
    10,307.34/14,223.87 = 5,831.55/x
  3. Step 3: Cross multiply
    10,307.34x = 14,223.87 × 5,831.55
  4. Step 4: Simplify right side
    10,307.34x = 82,947,209.10
  5. Step 5: Solve for x
    x = 82,947,209.10/10,307.34
  6. Step 6: Final answer
    x = 8,047.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.