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Finding the Fourth Proportional to 11,900.04, 16,429.50 and 7,653

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Solution

The fourth proportional to 11,900.04, 16,429.50 and 7,653 is: 10,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.04 : 16,429.50 = 7,653 : x
  2. Step 2: Convert to fraction form
    11,900.04/16,429.50 = 7,653/x
  3. Step 3: Cross multiply
    11,900.04x = 16,429.50 × 7,653
  4. Step 4: Simplify right side
    11,900.04x = 125,734,963.50
  5. Step 5: Solve for x
    x = 125,734,963.50/11,900.04
  6. Step 6: Final answer
    x = 10,565.93

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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.