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Finding the Fourth Proportional to 10,500.85, 14,492.57 and 6,025.06

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Solution

The fourth proportional to 10,500.85, 14,492.57 and 6,025.06 is: 8,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.85 : 14,492.57 = 6,025.06 : x
  2. Step 2: Convert to fraction form
    10,500.85/14,492.57 = 6,025.06/x
  3. Step 3: Cross multiply
    10,500.85x = 14,492.57 × 6,025.06
  4. Step 4: Simplify right side
    10,500.85x = 87,318,603.80
  5. Step 5: Solve for x
    x = 87,318,603.80/10,500.85
  6. Step 6: Final answer
    x = 8,315.38

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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.