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Finding the Fourth Proportional to 10,307.95, 14,224.80 and 5,831.59

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Solution

The fourth proportional to 10,307.95, 14,224.80 and 5,831.59 is: 8,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.95 : 14,224.80 = 5,831.59 : x
  2. Step 2: Convert to fraction form
    10,307.95/14,224.80 = 5,831.59/x
  3. Step 3: Cross multiply
    10,307.95x = 14,224.80 × 5,831.59
  4. Step 4: Simplify right side
    10,307.95x = 82,953,172.27
  5. Step 5: Solve for x
    x = 82,953,172.27/10,307.95
  6. Step 6: Final answer
    x = 8,047.49

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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.