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Finding the Fourth Proportional to 10,931.40, 15,076.80 and 9,257.40

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Solution

The fourth proportional to 10,931.40, 15,076.80 and 9,257.40 is: 12,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.40 : 15,076.80 = 9,257.40 : x
  2. Step 2: Convert to fraction form
    10,931.40/15,076.80 = 9,257.40/x
  3. Step 3: Cross multiply
    10,931.40x = 15,076.80 × 9,257.40
  4. Step 4: Simplify right side
    10,931.40x = 139,571,968.32
  5. Step 5: Solve for x
    x = 139,571,968.32/10,931.40
  6. Step 6: Final answer
    x = 12,767.99

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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.