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Finding the Fourth Proportional to 6,146.59, 8,484.11 and 5,316.22

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Solution

The fourth proportional to 6,146.59, 8,484.11 and 5,316.22 is: 7,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.59 : 8,484.11 = 5,316.22 : x
  2. Step 2: Convert to fraction form
    6,146.59/8,484.11 = 5,316.22/x
  3. Step 3: Cross multiply
    6,146.59x = 8,484.11 × 5,316.22
  4. Step 4: Simplify right side
    6,146.59x = 45,103,395.26
  5. Step 5: Solve for x
    x = 45,103,395.26/6,146.59
  6. Step 6: Final answer
    x = 7,337.95

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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.