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Finding the Fourth Proportional to 8,236.47, 11,365.48 and 4,699

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Solution

The fourth proportional to 8,236.47, 11,365.48 and 4,699 is: 6,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.47 : 11,365.48 = 4,699 : x
  2. Step 2: Convert to fraction form
    8,236.47/11,365.48 = 4,699/x
  3. Step 3: Cross multiply
    8,236.47x = 11,365.48 × 4,699
  4. Step 4: Simplify right side
    8,236.47x = 53,406,390.52
  5. Step 5: Solve for x
    x = 53,406,390.52/8,236.47
  6. Step 6: Final answer
    x = 6,484.14

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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.