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Finding the Fourth Proportional to 11,856.12, 16,360.98 and 7,139.40

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Solution

The fourth proportional to 11,856.12, 16,360.98 and 7,139.40 is: 9,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.12 : 16,360.98 = 7,139.40 : x
  2. Step 2: Convert to fraction form
    11,856.12/16,360.98 = 7,139.40/x
  3. Step 3: Cross multiply
    11,856.12x = 16,360.98 × 7,139.40
  4. Step 4: Simplify right side
    11,856.12x = 116,807,580.61
  5. Step 5: Solve for x
    x = 116,807,580.61/11,856.12
  6. Step 6: Final answer
    x = 9,852.09

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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.