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Finding the Fourth Proportional to 11,005.58, 15,185.40 and 7,024.16

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Solution

The fourth proportional to 11,005.58, 15,185.40 and 7,024.16 is: 9,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.58 : 15,185.40 = 7,024.16 : x
  2. Step 2: Convert to fraction form
    11,005.58/15,185.40 = 7,024.16/x
  3. Step 3: Cross multiply
    11,005.58x = 15,185.40 × 7,024.16
  4. Step 4: Simplify right side
    11,005.58x = 106,664,679.26
  5. Step 5: Solve for x
    x = 106,664,679.26/11,005.58
  6. Step 6: Final answer
    x = 9,691.87

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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.