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Finding the Fourth Proportional to 11,521.32, 15,898.18 and 6,485.46

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Solution

The fourth proportional to 11,521.32, 15,898.18 and 6,485.46 is: 8,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.32 : 15,898.18 = 6,485.46 : x
  2. Step 2: Convert to fraction form
    11,521.32/15,898.18 = 6,485.46/x
  3. Step 3: Cross multiply
    11,521.32x = 15,898.18 × 6,485.46
  4. Step 4: Simplify right side
    11,521.32x = 103,107,010.46
  5. Step 5: Solve for x
    x = 103,107,010.46/11,521.32
  6. Step 6: Final answer
    x = 8,949.24

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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.