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Finding the Fourth Proportional to 7,668.51, 10,586.11 and 5,780.86

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Solution

The fourth proportional to 7,668.51, 10,586.11 and 5,780.86 is: 7,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.51 : 10,586.11 = 5,780.86 : x
  2. Step 2: Convert to fraction form
    7,668.51/10,586.11 = 5,780.86/x
  3. Step 3: Cross multiply
    7,668.51x = 10,586.11 × 5,780.86
  4. Step 4: Simplify right side
    7,668.51x = 61,196,750.50
  5. Step 5: Solve for x
    x = 61,196,750.50/7,668.51
  6. Step 6: Final answer
    x = 7,980.27

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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.