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Finding the Fourth Proportional to 8,288.56, 12,421.50 and 4,779.64

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Solution

The fourth proportional to 8,288.56, 12,421.50 and 4,779.64 is: 7,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.56 : 12,421.50 = 4,779.64 : x
  2. Step 2: Convert to fraction form
    8,288.56/12,421.50 = 4,779.64/x
  3. Step 3: Cross multiply
    8,288.56x = 12,421.50 × 4,779.64
  4. Step 4: Simplify right side
    8,288.56x = 59,370,298.26
  5. Step 5: Solve for x
    x = 59,370,298.26/8,288.56
  6. Step 6: Final answer
    x = 7,162.92

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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.