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Finding the Fourth Proportional to 12,088.95, 16,683.06 and 7,841.76

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Solution

The fourth proportional to 12,088.95, 16,683.06 and 7,841.76 is: 10,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.95 : 16,683.06 = 7,841.76 : x
  2. Step 2: Convert to fraction form
    12,088.95/16,683.06 = 7,841.76/x
  3. Step 3: Cross multiply
    12,088.95x = 16,683.06 × 7,841.76
  4. Step 4: Simplify right side
    12,088.95x = 130,824,552.59
  5. Step 5: Solve for x
    x = 130,824,552.59/12,088.95
  6. Step 6: Final answer
    x = 10,821.83

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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.