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Finding the Fourth Proportional to 15,762.76, 23,647.82 and 5,374.52

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Solution

The fourth proportional to 15,762.76, 23,647.82 and 5,374.52 is: 8,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.76 : 23,647.82 = 5,374.52 : x
  2. Step 2: Convert to fraction form
    15,762.76/23,647.82 = 5,374.52/x
  3. Step 3: Cross multiply
    15,762.76x = 23,647.82 × 5,374.52
  4. Step 4: Simplify right side
    15,762.76x = 127,095,681.55
  5. Step 5: Solve for x
    x = 127,095,681.55/15,762.76
  6. Step 6: Final answer
    x = 8,063.03

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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.