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Finding the Fourth Proportional to 6,130.86, 8,453.11 and 5,184.96

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Solution

The fourth proportional to 6,130.86, 8,453.11 and 5,184.96 is: 7,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.86 : 8,453.11 = 5,184.96 : x
  2. Step 2: Convert to fraction form
    6,130.86/8,453.11 = 5,184.96/x
  3. Step 3: Cross multiply
    6,130.86x = 8,453.11 × 5,184.96
  4. Step 4: Simplify right side
    6,130.86x = 43,829,037.23
  5. Step 5: Solve for x
    x = 43,829,037.23/6,130.86
  6. Step 6: Final answer
    x = 7,148.92

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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.