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Finding the Fourth Proportional to 8,384.51, 12,557.50 and 4,678.54

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Solution

The fourth proportional to 8,384.51, 12,557.50 and 4,678.54 is: 7,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.51 : 12,557.50 = 4,678.54 : x
  2. Step 2: Convert to fraction form
    8,384.51/12,557.50 = 4,678.54/x
  3. Step 3: Cross multiply
    8,384.51x = 12,557.50 × 4,678.54
  4. Step 4: Simplify right side
    8,384.51x = 58,750,722.96
  5. Step 5: Solve for x
    x = 58,750,722.96/8,384.51
  6. Step 6: Final answer
    x = 7,007.05

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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.