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Finding the Fourth Proportional to 10,527.70, 15,772.35 and 8,569.30

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Solution

The fourth proportional to 10,527.70, 15,772.35 and 8,569.30 is: 12,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.70 : 15,772.35 = 8,569.30 : x
  2. Step 2: Convert to fraction form
    10,527.70/15,772.35 = 8,569.30/x
  3. Step 3: Cross multiply
    10,527.70x = 15,772.35 × 8,569.30
  4. Step 4: Simplify right side
    10,527.70x = 135,157,998.86
  5. Step 5: Solve for x
    x = 135,157,998.86/10,527.70
  6. Step 6: Final answer
    x = 12,838.32

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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.