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Finding the Fourth Proportional to 10,658.41, 15,955.72 and 7,690.16

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Solution

The fourth proportional to 10,658.41, 15,955.72 and 7,690.16 is: 11,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.41 : 15,955.72 = 7,690.16 : x
  2. Step 2: Convert to fraction form
    10,658.41/15,955.72 = 7,690.16/x
  3. Step 3: Cross multiply
    10,658.41x = 15,955.72 × 7,690.16
  4. Step 4: Simplify right side
    10,658.41x = 122,702,060.38
  5. Step 5: Solve for x
    x = 122,702,060.38/10,658.41
  6. Step 6: Final answer
    x = 11,512.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.