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Finding the Fourth Proportional to 11,384.16, 15,703.86 and 7,141.44

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Solution

The fourth proportional to 11,384.16, 15,703.86 and 7,141.44 is: 9,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.16 : 15,703.86 = 7,141.44 : x
  2. Step 2: Convert to fraction form
    11,384.16/15,703.86 = 7,141.44/x
  3. Step 3: Cross multiply
    11,384.16x = 15,703.86 × 7,141.44
  4. Step 4: Simplify right side
    11,384.16x = 112,148,173.96
  5. Step 5: Solve for x
    x = 112,148,173.96/11,384.16
  6. Step 6: Final answer
    x = 9,851.25

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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.