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Finding the Fourth Proportional to 7,658.69, 11,487.87 and 4,364.78

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Solution

The fourth proportional to 7,658.69, 11,487.87 and 4,364.78 is: 6,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.69 : 11,487.87 = 4,364.78 : x
  2. Step 2: Convert to fraction form
    7,658.69/11,487.87 = 4,364.78/x
  3. Step 3: Cross multiply
    7,658.69x = 11,487.87 × 4,364.78
  4. Step 4: Simplify right side
    7,658.69x = 50,141,967.78
  5. Step 5: Solve for x
    x = 50,141,967.78/7,658.69
  6. Step 6: Final answer
    x = 6,547.07

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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.