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Finding the Fourth Proportional to 10,376.30, 15,580.65 and 6,002.30

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Solution

The fourth proportional to 10,376.30, 15,580.65 and 6,002.30 is: 9,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.30 : 15,580.65 = 6,002.30 : x
  2. Step 2: Convert to fraction form
    10,376.30/15,580.65 = 6,002.30/x
  3. Step 3: Cross multiply
    10,376.30x = 15,580.65 × 6,002.30
  4. Step 4: Simplify right side
    10,376.30x = 93,519,735.50
  5. Step 5: Solve for x
    x = 93,519,735.50/10,376.30
  6. Step 6: Final answer
    x = 9,012.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.