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Finding the Fourth Proportional to 7,682.63, 10,598.90 and 5,670.86

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Solution

The fourth proportional to 7,682.63, 10,598.90 and 5,670.86 is: 7,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.63 : 10,598.90 = 5,670.86 : x
  2. Step 2: Convert to fraction form
    7,682.63/10,598.90 = 5,670.86/x
  3. Step 3: Cross multiply
    7,682.63x = 10,598.90 × 5,670.86
  4. Step 4: Simplify right side
    7,682.63x = 60,104,796.71
  5. Step 5: Solve for x
    x = 60,104,796.71/7,682.63
  6. Step 6: Final answer
    x = 7,823.47

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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.