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Finding the Fourth Proportional to 4,966.08, 7,443.36 and 4,678.08

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Solution

The fourth proportional to 4,966.08, 7,443.36 and 4,678.08 is: 7,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.08 : 7,443.36 = 4,678.08 : x
  2. Step 2: Convert to fraction form
    4,966.08/7,443.36 = 4,678.08/x
  3. Step 3: Cross multiply
    4,966.08x = 7,443.36 × 4,678.08
  4. Step 4: Simplify right side
    4,966.08x = 34,820,633.55
  5. Step 5: Solve for x
    x = 34,820,633.55/4,966.08
  6. Step 6: Final answer
    x = 7,011.69

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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.