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Finding the Fourth Proportional to 10,464.39, 14,440.88 and 5,748.98

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Solution

The fourth proportional to 10,464.39, 14,440.88 and 5,748.98 is: 7,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.39 : 14,440.88 = 5,748.98 : x
  2. Step 2: Convert to fraction form
    10,464.39/14,440.88 = 5,748.98/x
  3. Step 3: Cross multiply
    10,464.39x = 14,440.88 × 5,748.98
  4. Step 4: Simplify right side
    10,464.39x = 83,020,272.47
  5. Step 5: Solve for x
    x = 83,020,272.47/10,464.39
  6. Step 6: Final answer
    x = 7,933.60

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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.