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Finding the Fourth Proportional to 11,338.02, 15,648.93 and 7,145.46

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Solution

The fourth proportional to 11,338.02, 15,648.93 and 7,145.46 is: 9,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.02 : 15,648.93 = 7,145.46 : x
  2. Step 2: Convert to fraction form
    11,338.02/15,648.93 = 7,145.46/x
  3. Step 3: Cross multiply
    11,338.02x = 15,648.93 × 7,145.46
  4. Step 4: Simplify right side
    11,338.02x = 111,818,803.36
  5. Step 5: Solve for x
    x = 111,818,803.36/11,338.02
  6. Step 6: Final answer
    x = 9,862.29

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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.