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Finding the Fourth Proportional to 10,642.88, 14,687.60 and 6,166.56

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Solution

The fourth proportional to 10,642.88, 14,687.60 and 6,166.56 is: 8,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.88 : 14,687.60 = 6,166.56 : x
  2. Step 2: Convert to fraction form
    10,642.88/14,687.60 = 6,166.56/x
  3. Step 3: Cross multiply
    10,642.88x = 14,687.60 × 6,166.56
  4. Step 4: Simplify right side
    10,642.88x = 90,571,966.66
  5. Step 5: Solve for x
    x = 90,571,966.66/10,642.88
  6. Step 6: Final answer
    x = 8,510.10

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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.