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Finding the Fourth Proportional to 6,810.65, 9,395.48 and 5,826.50

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Solution

The fourth proportional to 6,810.65, 9,395.48 and 5,826.50 is: 8,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.65 : 9,395.48 = 5,826.50 : x
  2. Step 2: Convert to fraction form
    6,810.65/9,395.48 = 5,826.50/x
  3. Step 3: Cross multiply
    6,810.65x = 9,395.48 × 5,826.50
  4. Step 4: Simplify right side
    6,810.65x = 54,742,688.11
  5. Step 5: Solve for x
    x = 54,742,688.11/6,810.65
  6. Step 6: Final answer
    x = 8,037.81

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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.