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Finding the Fourth Proportional to 8,318.16, 11,475.87 and 5,130.90

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Solution

The fourth proportional to 8,318.16, 11,475.87 and 5,130.90 is: 7,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.16 : 11,475.87 = 5,130.90 : x
  2. Step 2: Convert to fraction form
    8,318.16/11,475.87 = 5,130.90/x
  3. Step 3: Cross multiply
    8,318.16x = 11,475.87 × 5,130.90
  4. Step 4: Simplify right side
    8,318.16x = 58,881,541.38
  5. Step 5: Solve for x
    x = 58,881,541.38/8,318.16
  6. Step 6: Final answer
    x = 7,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.