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Finding the Fourth Proportional to 7,752.96, 10,695.12 and 4,564

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Solution

The fourth proportional to 7,752.96, 10,695.12 and 4,564 is: 6,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.96 : 10,695.12 = 4,564 : x
  2. Step 2: Convert to fraction form
    7,752.96/10,695.12 = 4,564/x
  3. Step 3: Cross multiply
    7,752.96x = 10,695.12 × 4,564
  4. Step 4: Simplify right side
    7,752.96x = 48,812,527.68
  5. Step 5: Solve for x
    x = 48,812,527.68/7,752.96
  6. Step 6: Final answer
    x = 6,295.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.