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Finding the Fourth Proportional to 10,307.16, 14,224.62 and 5,831.10

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Solution

The fourth proportional to 10,307.16, 14,224.62 and 5,831.10 is: 8,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.16 : 14,224.62 = 5,831.10 : x
  2. Step 2: Convert to fraction form
    10,307.16/14,224.62 = 5,831.10/x
  3. Step 3: Cross multiply
    10,307.16x = 14,224.62 × 5,831.10
  4. Step 4: Simplify right side
    10,307.16x = 82,945,181.68
  5. Step 5: Solve for x
    x = 82,945,181.68/10,307.16
  6. Step 6: Final answer
    x = 8,047.34

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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.