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Finding the Fourth Proportional to 6,501.60, 9,752.40 and 5,205.60

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Solution

The fourth proportional to 6,501.60, 9,752.40 and 5,205.60 is: 7,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.60 : 9,752.40 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    6,501.60/9,752.40 = 5,205.60/x
  3. Step 3: Cross multiply
    6,501.60x = 9,752.40 × 5,205.60
  4. Step 4: Simplify right side
    6,501.60x = 50,767,093.44
  5. Step 5: Solve for x
    x = 50,767,093.44/6,501.60
  6. Step 6: Final answer
    x = 7,808.40

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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.