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Finding the Fourth Proportional to 10,500.90, 14,491.08 and 5,785.35

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Solution

The fourth proportional to 10,500.90, 14,491.08 and 5,785.35 is: 7,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.90 : 14,491.08 = 5,785.35 : x
  2. Step 2: Convert to fraction form
    10,500.90/14,491.08 = 5,785.35/x
  3. Step 3: Cross multiply
    10,500.90x = 14,491.08 × 5,785.35
  4. Step 4: Simplify right side
    10,500.90x = 83,835,969.68
  5. Step 5: Solve for x
    x = 83,835,969.68/10,500.90
  6. Step 6: Final answer
    x = 7,983.69

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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.