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Finding the Fourth Proportional to 25,628.16, 38,448.64 and 7,160

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Solution

The fourth proportional to 25,628.16, 38,448.64 and 7,160 is: 10,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,628.16 : 38,448.64 = 7,160 : x
  2. Step 2: Convert to fraction form
    25,628.16/38,448.64 = 7,160/x
  3. Step 3: Cross multiply
    25,628.16x = 38,448.64 × 7,160
  4. Step 4: Simplify right side
    25,628.16x = 275,292,262.40
  5. Step 5: Solve for x
    x = 275,292,262.40/25,628.16
  6. Step 6: Final answer
    x = 10,741.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.