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Finding the Fourth Proportional to 7,559.96, 10,432.02 and 4,909.64

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Solution

The fourth proportional to 7,559.96, 10,432.02 and 4,909.64 is: 6,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.96 : 10,432.02 = 4,909.64 : x
  2. Step 2: Convert to fraction form
    7,559.96/10,432.02 = 4,909.64/x
  3. Step 3: Cross multiply
    7,559.96x = 10,432.02 × 4,909.64
  4. Step 4: Simplify right side
    7,559.96x = 51,217,462.67
  5. Step 5: Solve for x
    x = 51,217,462.67/7,559.96
  6. Step 6: Final answer
    x = 6,774.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.