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Finding the Fourth Proportional to 11,625.76, 16,045.88 and 6,909.13

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Solution

The fourth proportional to 11,625.76, 16,045.88 and 6,909.13 is: 9,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.76 : 16,045.88 = 6,909.13 : x
  2. Step 2: Convert to fraction form
    11,625.76/16,045.88 = 6,909.13/x
  3. Step 3: Cross multiply
    11,625.76x = 16,045.88 × 6,909.13
  4. Step 4: Simplify right side
    11,625.76x = 110,863,070.88
  5. Step 5: Solve for x
    x = 110,863,070.88/11,625.76
  6. Step 6: Final answer
    x = 9,535.98

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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.