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Finding the Fourth Proportional to 11,630.98, 16,053.06 and 6,595.30

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Solution

The fourth proportional to 11,630.98, 16,053.06 and 6,595.30 is: 9,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.98 : 16,053.06 = 6,595.30 : x
  2. Step 2: Convert to fraction form
    11,630.98/16,053.06 = 6,595.30/x
  3. Step 3: Cross multiply
    11,630.98x = 16,053.06 × 6,595.30
  4. Step 4: Simplify right side
    11,630.98x = 105,874,746.62
  5. Step 5: Solve for x
    x = 105,874,746.62/11,630.98
  6. Step 6: Final answer
    x = 9,102.82

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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.