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Finding the Fourth Proportional to 7,632.61, 11,434.06 and 5,627.65

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Solution

The fourth proportional to 7,632.61, 11,434.06 and 5,627.65 is: 8,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.61 : 11,434.06 = 5,627.65 : x
  2. Step 2: Convert to fraction form
    7,632.61/11,434.06 = 5,627.65/x
  3. Step 3: Cross multiply
    7,632.61x = 11,434.06 × 5,627.65
  4. Step 4: Simplify right side
    7,632.61x = 64,346,845.10
  5. Step 5: Solve for x
    x = 64,346,845.10/7,632.61
  6. Step 6: Final answer
    x = 8,430.52

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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.