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Finding the Fourth Proportional to 15,762.52, 23,647.02 and 6,528.52

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Solution

The fourth proportional to 15,762.52, 23,647.02 and 6,528.52 is: 9,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.52 : 23,647.02 = 6,528.52 : x
  2. Step 2: Convert to fraction form
    15,762.52/23,647.02 = 6,528.52/x
  3. Step 3: Cross multiply
    15,762.52x = 23,647.02 × 6,528.52
  4. Step 4: Simplify right side
    15,762.52x = 154,380,043.01
  5. Step 5: Solve for x
    x = 154,380,043.01/15,762.52
  6. Step 6: Final answer
    x = 9,794.12

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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.