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Finding the Fourth Proportional to 10,484.67, 14,468.76 and 5,948.22

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Solution

The fourth proportional to 10,484.67, 14,468.76 and 5,948.22 is: 8,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.67 : 14,468.76 = 5,948.22 : x
  2. Step 2: Convert to fraction form
    10,484.67/14,468.76 = 5,948.22/x
  3. Step 3: Cross multiply
    10,484.67x = 14,468.76 × 5,948.22
  4. Step 4: Simplify right side
    10,484.67x = 86,063,367.61
  5. Step 5: Solve for x
    x = 86,063,367.61/10,484.67
  6. Step 6: Final answer
    x = 8,208.50

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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.