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Finding the Fourth Proportional to 10,857.51, 14,956.55 and 9,258.95

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Solution

The fourth proportional to 10,857.51, 14,956.55 and 9,258.95 is: 12,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.51 : 14,956.55 = 9,258.95 : x
  2. Step 2: Convert to fraction form
    10,857.51/14,956.55 = 9,258.95/x
  3. Step 3: Cross multiply
    10,857.51x = 14,956.55 × 9,258.95
  4. Step 4: Simplify right side
    10,857.51x = 138,481,948.62
  5. Step 5: Solve for x
    x = 138,481,948.62/10,857.51
  6. Step 6: Final answer
    x = 12,754.49

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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.