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Finding the Fourth Proportional to 11,779.02, 16,255.49 and 7,062.39

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Solution

The fourth proportional to 11,779.02, 16,255.49 and 7,062.39 is: 9,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.02 : 16,255.49 = 7,062.39 : x
  2. Step 2: Convert to fraction form
    11,779.02/16,255.49 = 7,062.39/x
  3. Step 3: Cross multiply
    11,779.02x = 16,255.49 × 7,062.39
  4. Step 4: Simplify right side
    11,779.02x = 114,802,574.71
  5. Step 5: Solve for x
    x = 114,802,574.71/11,779.02
  6. Step 6: Final answer
    x = 9,746.36

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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.