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Finding the Fourth Proportional to 10,500.63, 14,492.75 and 6,024.36

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Solution

The fourth proportional to 10,500.63, 14,492.75 and 6,024.36 is: 8,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.63 : 14,492.75 = 6,024.36 : x
  2. Step 2: Convert to fraction form
    10,500.63/14,492.75 = 6,024.36/x
  3. Step 3: Cross multiply
    10,500.63x = 14,492.75 × 6,024.36
  4. Step 4: Simplify right side
    10,500.63x = 87,309,543.39
  5. Step 5: Solve for x
    x = 87,309,543.39/10,500.63
  6. Step 6: Final answer
    x = 8,314.70

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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.