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Finding the Fourth Proportional to 7,031.81, 10,564.12 and 4,112.17

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Solution

The fourth proportional to 7,031.81, 10,564.12 and 4,112.17 is: 6,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.81 : 10,564.12 = 4,112.17 : x
  2. Step 2: Convert to fraction form
    7,031.81/10,564.12 = 4,112.17/x
  3. Step 3: Cross multiply
    7,031.81x = 10,564.12 × 4,112.17
  4. Step 4: Simplify right side
    7,031.81x = 43,441,457.34
  5. Step 5: Solve for x
    x = 43,441,457.34/7,031.81
  6. Step 6: Final answer
    x = 6,177.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.