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Finding the Fourth Proportional to 8,709.32, 13,052.54 and 4,762.32

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Solution

The fourth proportional to 8,709.32, 13,052.54 and 4,762.32 is: 7,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.32 : 13,052.54 = 4,762.32 : x
  2. Step 2: Convert to fraction form
    8,709.32/13,052.54 = 4,762.32/x
  3. Step 3: Cross multiply
    8,709.32x = 13,052.54 × 4,762.32
  4. Step 4: Simplify right side
    8,709.32x = 62,160,372.29
  5. Step 5: Solve for x
    x = 62,160,372.29/8,709.32
  6. Step 6: Final answer
    x = 7,137.22

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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.