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Finding the Fourth Proportional to 11,261.04, 15,534 and 6,544.80

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Solution

The fourth proportional to 11,261.04, 15,534 and 6,544.80 is: 9,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.04 : 15,534 = 6,544.80 : x
  2. Step 2: Convert to fraction form
    11,261.04/15,534 = 6,544.80/x
  3. Step 3: Cross multiply
    11,261.04x = 15,534 × 6,544.80
  4. Step 4: Simplify right side
    11,261.04x = 101,666,923.20
  5. Step 5: Solve for x
    x = 101,666,923.20/11,261.04
  6. Step 6: Final answer
    x = 9,028.20

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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.