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Finding the Fourth Proportional to 10,613.18, 14,650.93 and 7,780.56

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Solution

The fourth proportional to 10,613.18, 14,650.93 and 7,780.56 is: 10,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.18 : 14,650.93 = 7,780.56 : x
  2. Step 2: Convert to fraction form
    10,613.18/14,650.93 = 7,780.56/x
  3. Step 3: Cross multiply
    10,613.18x = 14,650.93 × 7,780.56
  4. Step 4: Simplify right side
    10,613.18x = 113,992,350.94
  5. Step 5: Solve for x
    x = 113,992,350.94/10,613.18
  6. Step 6: Final answer
    x = 10,740.64

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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.