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Finding the Fourth Proportional to 10,463.45, 15,695.20 and 2,566.00

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Solution

The fourth proportional to 10,463.45, 15,695.20 and 2,566.00 is: 3,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.45 : 15,695.20 = 2,566.00 : x
  2. Step 2: Convert to fraction form
    10,463.45/15,695.20 = 2,566.00/x
  3. Step 3: Cross multiply
    10,463.45x = 15,695.20 × 2,566.00
  4. Step 4: Simplify right side
    10,463.45x = 40,273,803.31
  5. Step 5: Solve for x
    x = 40,273,803.31/10,463.45
  6. Step 6: Final answer
    x = 3,849.00

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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.