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Finding the Fourth Proportional to 10,436.25, 15,628.41 and 7,301.58

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Solution

The fourth proportional to 10,436.25, 15,628.41 and 7,301.58 is: 10,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.25 : 15,628.41 = 7,301.58 : x
  2. Step 2: Convert to fraction form
    10,436.25/15,628.41 = 7,301.58/x
  3. Step 3: Cross multiply
    10,436.25x = 15,628.41 × 7,301.58
  4. Step 4: Simplify right side
    10,436.25x = 114,112,058.51
  5. Step 5: Solve for x
    x = 114,112,058.51/10,436.25
  6. Step 6: Final answer
    x = 10,934.20

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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.