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Finding the Fourth Proportional to 10,530.66, 14,532.56 and 5,815.04

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Solution

The fourth proportional to 10,530.66, 14,532.56 and 5,815.04 is: 8,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.66 : 14,532.56 = 5,815.04 : x
  2. Step 2: Convert to fraction form
    10,530.66/14,532.56 = 5,815.04/x
  3. Step 3: Cross multiply
    10,530.66x = 14,532.56 × 5,815.04
  4. Step 4: Simplify right side
    10,530.66x = 84,507,315.96
  5. Step 5: Solve for x
    x = 84,507,315.96/10,530.66
  6. Step 6: Final answer
    x = 8,024.88

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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.