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Finding the Fourth Proportional to 10,563.47, 14,562.05 and 8,041.18

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Solution

The fourth proportional to 10,563.47, 14,562.05 and 8,041.18 is: 11,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.47 : 14,562.05 = 8,041.18 : x
  2. Step 2: Convert to fraction form
    10,563.47/14,562.05 = 8,041.18/x
  3. Step 3: Cross multiply
    10,563.47x = 14,562.05 × 8,041.18
  4. Step 4: Simplify right side
    10,563.47x = 117,096,065.22
  5. Step 5: Solve for x
    x = 117,096,065.22/10,563.47
  6. Step 6: Final answer
    x = 11,085.00

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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.