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Finding the Fourth Proportional to 7,764.55, 10,710.69 and 4,779.77

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Solution

The fourth proportional to 7,764.55, 10,710.69 and 4,779.77 is: 6,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.55 : 10,710.69 = 4,779.77 : x
  2. Step 2: Convert to fraction form
    7,764.55/10,710.69 = 4,779.77/x
  3. Step 3: Cross multiply
    7,764.55x = 10,710.69 × 4,779.77
  4. Step 4: Simplify right side
    7,764.55x = 51,194,634.74
  5. Step 5: Solve for x
    x = 51,194,634.74/7,764.55
  6. Step 6: Final answer
    x = 6,593.38

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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.