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Finding the Fourth Proportional to 6,953.96, 10,406.10 and 6,040.28

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Solution

The fourth proportional to 6,953.96, 10,406.10 and 6,040.28 is: 9,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.96 : 10,406.10 = 6,040.28 : x
  2. Step 2: Convert to fraction form
    6,953.96/10,406.10 = 6,040.28/x
  3. Step 3: Cross multiply
    6,953.96x = 10,406.10 × 6,040.28
  4. Step 4: Simplify right side
    6,953.96x = 62,855,757.71
  5. Step 5: Solve for x
    x = 62,855,757.71/6,953.96
  6. Step 6: Final answer
    x = 9,038.84

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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.