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Finding the Fourth Proportional to 10,563.95, 14,563.22 and 7,202.45

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Solution

The fourth proportional to 10,563.95, 14,563.22 and 7,202.45 is: 9,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.95 : 14,563.22 = 7,202.45 : x
  2. Step 2: Convert to fraction form
    10,563.95/14,563.22 = 7,202.45/x
  3. Step 3: Cross multiply
    10,563.95x = 14,563.22 × 7,202.45
  4. Step 4: Simplify right side
    10,563.95x = 104,890,863.89
  5. Step 5: Solve for x
    x = 104,890,863.89/10,563.95
  6. Step 6: Final answer
    x = 9,929.13

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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.