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Finding the Fourth Proportional to 7,637.37, 11,430.52 and 4,349.58

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Solution

The fourth proportional to 7,637.37, 11,430.52 and 4,349.58 is: 6,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.37 : 11,430.52 = 4,349.58 : x
  2. Step 2: Convert to fraction form
    7,637.37/11,430.52 = 4,349.58/x
  3. Step 3: Cross multiply
    7,637.37x = 11,430.52 × 4,349.58
  4. Step 4: Simplify right side
    7,637.37x = 49,717,961.18
  5. Step 5: Solve for x
    x = 49,717,961.18/7,637.37
  6. Step 6: Final answer
    x = 6,509.83

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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.