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Finding the Fourth Proportional to 11,465.88, 15,822.36 and 7,215.72

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Solution

The fourth proportional to 11,465.88, 15,822.36 and 7,215.72 is: 9,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.88 : 15,822.36 = 7,215.72 : x
  2. Step 2: Convert to fraction form
    11,465.88/15,822.36 = 7,215.72/x
  3. Step 3: Cross multiply
    11,465.88x = 15,822.36 × 7,215.72
  4. Step 4: Simplify right side
    11,465.88x = 114,169,719.50
  5. Step 5: Solve for x
    x = 114,169,719.50/11,465.88
  6. Step 6: Final answer
    x = 9,957.34

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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.