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Finding the Fourth Proportional to 10,470.25, 14,448.95 and 5,754.84

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Solution

The fourth proportional to 10,470.25, 14,448.95 and 5,754.84 is: 7,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.25 : 14,448.95 = 5,754.84 : x
  2. Step 2: Convert to fraction form
    10,470.25/14,448.95 = 5,754.84/x
  3. Step 3: Cross multiply
    10,470.25x = 14,448.95 × 5,754.84
  4. Step 4: Simplify right side
    10,470.25x = 83,151,395.42
  5. Step 5: Solve for x
    x = 83,151,395.42/10,470.25
  6. Step 6: Final answer
    x = 7,941.68

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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.