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Finding the Fourth Proportional to 10,521.56, 15,782.87 and 9,989.50

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Solution

The fourth proportional to 10,521.56, 15,782.87 and 9,989.50 is: 14,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.56 : 15,782.87 = 9,989.50 : x
  2. Step 2: Convert to fraction form
    10,521.56/15,782.87 = 9,989.50/x
  3. Step 3: Cross multiply
    10,521.56x = 15,782.87 × 9,989.50
  4. Step 4: Simplify right side
    10,521.56x = 157,662,979.87
  5. Step 5: Solve for x
    x = 157,662,979.87/10,521.56
  6. Step 6: Final answer
    x = 14,984.76

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Why These Related Problems?

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