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Finding the Fourth Proportional to 10,856.51, 14,955.17 and 9,257.95

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Solution

The fourth proportional to 10,856.51, 14,955.17 and 9,257.95 is: 12,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.51 : 14,955.17 = 9,257.95 : x
  2. Step 2: Convert to fraction form
    10,856.51/14,955.17 = 9,257.95/x
  3. Step 3: Cross multiply
    10,856.51x = 14,955.17 × 9,257.95
  4. Step 4: Simplify right side
    10,856.51x = 138,454,216.10
  5. Step 5: Solve for x
    x = 138,454,216.10/10,856.51
  6. Step 6: Final answer
    x = 12,753.11

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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.