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Finding the Fourth Proportional to 11,415.02, 15,758.44 and 7,708.46

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Solution

The fourth proportional to 11,415.02, 15,758.44 and 7,708.46 is: 10,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.02 : 15,758.44 = 7,708.46 : x
  2. Step 2: Convert to fraction form
    11,415.02/15,758.44 = 7,708.46/x
  3. Step 3: Cross multiply
    11,415.02x = 15,758.44 × 7,708.46
  4. Step 4: Simplify right side
    11,415.02x = 121,473,304.40
  5. Step 5: Solve for x
    x = 121,473,304.40/11,415.02
  6. Step 6: Final answer
    x = 10,641.53

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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.