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Finding the Fourth Proportional to 7,098.40, 10,652.64 and 3,206.08

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Solution

The fourth proportional to 7,098.40, 10,652.64 and 3,206.08 is: 4,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.40 : 10,652.64 = 3,206.08 : x
  2. Step 2: Convert to fraction form
    7,098.40/10,652.64 = 3,206.08/x
  3. Step 3: Cross multiply
    7,098.40x = 10,652.64 × 3,206.08
  4. Step 4: Simplify right side
    7,098.40x = 34,153,216.05
  5. Step 5: Solve for x
    x = 34,153,216.05/7,098.40
  6. Step 6: Final answer
    x = 4,811.40

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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.