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Finding the Fourth Proportional to 7,779.53, 11,677.95 and 4,030.32

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Solution

The fourth proportional to 7,779.53, 11,677.95 and 4,030.32 is: 6,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.53 : 11,677.95 = 4,030.32 : x
  2. Step 2: Convert to fraction form
    7,779.53/11,677.95 = 4,030.32/x
  3. Step 3: Cross multiply
    7,779.53x = 11,677.95 × 4,030.32
  4. Step 4: Simplify right side
    7,779.53x = 47,065,847.19
  5. Step 5: Solve for x
    x = 47,065,847.19/7,779.53
  6. Step 6: Final answer
    x = 6,049.96

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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.