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Finding the Fourth Proportional to 8,513.16, 11,748.25 and 4,684.85

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Solution

The fourth proportional to 8,513.16, 11,748.25 and 4,684.85 is: 6,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.16 : 11,748.25 = 4,684.85 : x
  2. Step 2: Convert to fraction form
    8,513.16/11,748.25 = 4,684.85/x
  3. Step 3: Cross multiply
    8,513.16x = 11,748.25 × 4,684.85
  4. Step 4: Simplify right side
    8,513.16x = 55,038,730.27
  5. Step 5: Solve for x
    x = 55,038,730.27/8,513.16
  6. Step 6: Final answer
    x = 6,465.14

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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.