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Finding the Fourth Proportional to 11,415.84, 15,758.40 and 7,440.36

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Solution

The fourth proportional to 11,415.84, 15,758.40 and 7,440.36 is: 10,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.84 : 15,758.40 = 7,440.36 : x
  2. Step 2: Convert to fraction form
    11,415.84/15,758.40 = 7,440.36/x
  3. Step 3: Cross multiply
    11,415.84x = 15,758.40 × 7,440.36
  4. Step 4: Simplify right side
    11,415.84x = 117,248,169.02
  5. Step 5: Solve for x
    x = 117,248,169.02/11,415.84
  6. Step 6: Final answer
    x = 10,270.66

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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.