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Finding the Fourth Proportional to 7,509.69, 10,363.70 and 4,678.74

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Solution

The fourth proportional to 7,509.69, 10,363.70 and 4,678.74 is: 6,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.69 : 10,363.70 = 4,678.74 : x
  2. Step 2: Convert to fraction form
    7,509.69/10,363.70 = 4,678.74/x
  3. Step 3: Cross multiply
    7,509.69x = 10,363.70 × 4,678.74
  4. Step 4: Simplify right side
    7,509.69x = 48,489,069.43
  5. Step 5: Solve for x
    x = 48,489,069.43/7,509.69
  6. Step 6: Final answer
    x = 6,456.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.