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Finding the Fourth Proportional to 15,762.10, 23,648.55 and 7,003.30

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Solution

The fourth proportional to 15,762.10, 23,648.55 and 7,003.30 is: 10,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.10 : 23,648.55 = 7,003.30 : x
  2. Step 2: Convert to fraction form
    15,762.10/23,648.55 = 7,003.30/x
  3. Step 3: Cross multiply
    15,762.10x = 23,648.55 × 7,003.30
  4. Step 4: Simplify right side
    15,762.10x = 165,617,890.22
  5. Step 5: Solve for x
    x = 165,617,890.22/15,762.10
  6. Step 6: Final answer
    x = 10,507.35

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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.