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Finding the Fourth Proportional to 10,563.01, 14,574.09 and 6,312.20

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Solution

The fourth proportional to 10,563.01, 14,574.09 and 6,312.20 is: 8,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.01 : 14,574.09 = 6,312.20 : x
  2. Step 2: Convert to fraction form
    10,563.01/14,574.09 = 6,312.20/x
  3. Step 3: Cross multiply
    10,563.01x = 14,574.09 × 6,312.20
  4. Step 4: Simplify right side
    10,563.01x = 91,994,521.70
  5. Step 5: Solve for x
    x = 91,994,521.70/10,563.01
  6. Step 6: Final answer
    x = 8,709.12

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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.