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Finding the Fourth Proportional to 7,155.48, 10,735.80 and 3,206.40

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Solution

The fourth proportional to 7,155.48, 10,735.80 and 3,206.40 is: 4,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.48 : 10,735.80 = 3,206.40 : x
  2. Step 2: Convert to fraction form
    7,155.48/10,735.80 = 3,206.40/x
  3. Step 3: Cross multiply
    7,155.48x = 10,735.80 × 3,206.40
  4. Step 4: Simplify right side
    7,155.48x = 34,423,269.12
  5. Step 5: Solve for x
    x = 34,423,269.12/7,155.48
  6. Step 6: Final answer
    x = 4,810.76

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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.