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Finding the Fourth Proportional to 10,349.85, 15,525.06 and 3,780.93

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Solution

The fourth proportional to 10,349.85, 15,525.06 and 3,780.93 is: 5,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.85 : 15,525.06 = 3,780.93 : x
  2. Step 2: Convert to fraction form
    10,349.85/15,525.06 = 3,780.93/x
  3. Step 3: Cross multiply
    10,349.85x = 15,525.06 × 3,780.93
  4. Step 4: Simplify right side
    10,349.85x = 58,699,165.11
  5. Step 5: Solve for x
    x = 58,699,165.11/10,349.85
  6. Step 6: Final answer
    x = 5,671.50

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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.