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Finding the Fourth Proportional to 7,678.20, 11,528.10 and 4,762.20

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Solution

The fourth proportional to 7,678.20, 11,528.10 and 4,762.20 is: 7,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.20 : 11,528.10 = 4,762.20 : x
  2. Step 2: Convert to fraction form
    7,678.20/11,528.10 = 4,762.20/x
  3. Step 3: Cross multiply
    7,678.20x = 11,528.10 × 4,762.20
  4. Step 4: Simplify right side
    7,678.20x = 54,899,117.82
  5. Step 5: Solve for x
    x = 54,899,117.82/7,678.20
  6. Step 6: Final answer
    x = 7,150.00

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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.