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Finding the Fourth Proportional to 8,400.66, 11,585.61 and 5,415.54

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Solution

The fourth proportional to 8,400.66, 11,585.61 and 5,415.54 is: 7,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.66 : 11,585.61 = 5,415.54 : x
  2. Step 2: Convert to fraction form
    8,400.66/11,585.61 = 5,415.54/x
  3. Step 3: Cross multiply
    8,400.66x = 11,585.61 × 5,415.54
  4. Step 4: Simplify right side
    8,400.66x = 62,742,334.38
  5. Step 5: Solve for x
    x = 62,742,334.38/8,400.66
  6. Step 6: Final answer
    x = 7,468.74

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Why These Related Problems?

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