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Finding the Fourth Proportional to 10,904.51, 16,355.00 and 3,111.50

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Solution

The fourth proportional to 10,904.51, 16,355.00 and 3,111.50 is: 4,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.51 : 16,355.00 = 3,111.50 : x
  2. Step 2: Convert to fraction form
    10,904.51/16,355.00 = 3,111.50/x
  3. Step 3: Cross multiply
    10,904.51x = 16,355.00 × 3,111.50
  4. Step 4: Simplify right side
    10,904.51x = 50,888,508.50
  5. Step 5: Solve for x
    x = 50,888,508.50/10,904.51
  6. Step 6: Final answer
    x = 4,666.74

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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.