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Finding the Fourth Proportional to 11,557.98, 15,946.05 and 6,521.58

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Solution

The fourth proportional to 11,557.98, 15,946.05 and 6,521.58 is: 8,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.98 : 15,946.05 = 6,521.58 : x
  2. Step 2: Convert to fraction form
    11,557.98/15,946.05 = 6,521.58/x
  3. Step 3: Cross multiply
    11,557.98x = 15,946.05 × 6,521.58
  4. Step 4: Simplify right side
    11,557.98x = 103,993,440.76
  5. Step 5: Solve for x
    x = 103,993,440.76/11,557.98
  6. Step 6: Final answer
    x = 8,997.54

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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.