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Finding the Fourth Proportional to 10,521.96, 15,803.95 and 6,580.23

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Solution

The fourth proportional to 10,521.96, 15,803.95 and 6,580.23 is: 9,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.96 : 15,803.95 = 6,580.23 : x
  2. Step 2: Convert to fraction form
    10,521.96/15,803.95 = 6,580.23/x
  3. Step 3: Cross multiply
    10,521.96x = 15,803.95 × 6,580.23
  4. Step 4: Simplify right side
    10,521.96x = 103,993,625.91
  5. Step 5: Solve for x
    x = 103,993,625.91/10,521.96
  6. Step 6: Final answer
    x = 9,883.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.