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Finding the Fourth Proportional to 10,464.60, 14,440.98 and 5,748.84

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Solution

The fourth proportional to 10,464.60, 14,440.98 and 5,748.84 is: 7,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.60 : 14,440.98 = 5,748.84 : x
  2. Step 2: Convert to fraction form
    10,464.60/14,440.98 = 5,748.84/x
  3. Step 3: Cross multiply
    10,464.60x = 14,440.98 × 5,748.84
  4. Step 4: Simplify right side
    10,464.60x = 83,018,883.46
  5. Step 5: Solve for x
    x = 83,018,883.46/10,464.60
  6. Step 6: Final answer
    x = 7,933.31

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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.