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Finding the Fourth Proportional to 8,429.47, 11,630.59 and 4,892.00

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Solution

The fourth proportional to 8,429.47, 11,630.59 and 4,892.00 is: 6,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.47 : 11,630.59 = 4,892.00 : x
  2. Step 2: Convert to fraction form
    8,429.47/11,630.59 = 4,892.00/x
  3. Step 3: Cross multiply
    8,429.47x = 11,630.59 × 4,892.00
  4. Step 4: Simplify right side
    8,429.47x = 56,896,775.90
  5. Step 5: Solve for x
    x = 56,896,775.90/8,429.47
  6. Step 6: Final answer
    x = 6,749.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.