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Finding the Fourth Proportional to 8,904.69, 12,289.39 and 5,128.00

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Solution

The fourth proportional to 8,904.69, 12,289.39 and 5,128.00 is: 7,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.69 : 12,289.39 = 5,128.00 : x
  2. Step 2: Convert to fraction form
    8,904.69/12,289.39 = 5,128.00/x
  3. Step 3: Cross multiply
    8,904.69x = 12,289.39 × 5,128.00
  4. Step 4: Simplify right side
    8,904.69x = 63,019,948.38
  5. Step 5: Solve for x
    x = 63,019,948.38/8,904.69
  6. Step 6: Final answer
    x = 7,077.16

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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.