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Finding the Fourth Proportional to 13,158.38, 18,158.03 and 7,784.30

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Solution

The fourth proportional to 13,158.38, 18,158.03 and 7,784.30 is: 10,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.38 : 18,158.03 = 7,784.30 : x
  2. Step 2: Convert to fraction form
    13,158.38/18,158.03 = 7,784.30/x
  3. Step 3: Cross multiply
    13,158.38x = 18,158.03 × 7,784.30
  4. Step 4: Simplify right side
    13,158.38x = 141,347,423.22
  5. Step 5: Solve for x
    x = 141,347,423.22/13,158.38
  6. Step 6: Final answer
    x = 10,742.01

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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.