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Finding the Fourth Proportional to 11,603.12, 16,008.49 and 6,566.84

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Solution

The fourth proportional to 11,603.12, 16,008.49 and 6,566.84 is: 9,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.12 : 16,008.49 = 6,566.84 : x
  2. Step 2: Convert to fraction form
    11,603.12/16,008.49 = 6,566.84/x
  3. Step 3: Cross multiply
    11,603.12x = 16,008.49 × 6,566.84
  4. Step 4: Simplify right side
    11,603.12x = 105,125,079.59
  5. Step 5: Solve for x
    x = 105,125,079.59/11,603.12
  6. Step 6: Final answer
    x = 9,060.07

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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.