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Finding the Fourth Proportional to 11,779.98, 17,674.65 and 4,852.86

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Solution

The fourth proportional to 11,779.98, 17,674.65 and 4,852.86 is: 7,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.98 : 17,674.65 = 4,852.86 : x
  2. Step 2: Convert to fraction form
    11,779.98/17,674.65 = 4,852.86/x
  3. Step 3: Cross multiply
    11,779.98x = 17,674.65 × 4,852.86
  4. Step 4: Simplify right side
    11,779.98x = 85,772,602.00
  5. Step 5: Solve for x
    x = 85,772,602.00/11,779.98
  6. Step 6: Final answer
    x = 7,281.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.