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Finding the Fourth Proportional to 10,500.45, 15,713.69 and 6,553.58

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Solution

The fourth proportional to 10,500.45, 15,713.69 and 6,553.58 is: 9,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.45 : 15,713.69 = 6,553.58 : x
  2. Step 2: Convert to fraction form
    10,500.45/15,713.69 = 6,553.58/x
  3. Step 3: Cross multiply
    10,500.45x = 15,713.69 × 6,553.58
  4. Step 4: Simplify right side
    10,500.45x = 102,980,813.17
  5. Step 5: Solve for x
    x = 102,980,813.17/10,500.45
  6. Step 6: Final answer
    x = 9,807.28

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