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Finding the Fourth Proportional to 10,935.68, 15,088.68 and 6,219.05

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Solution

The fourth proportional to 10,935.68, 15,088.68 and 6,219.05 is: 8,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.68 : 15,088.68 = 6,219.05 : x
  2. Step 2: Convert to fraction form
    10,935.68/15,088.68 = 6,219.05/x
  3. Step 3: Cross multiply
    10,935.68x = 15,088.68 × 6,219.05
  4. Step 4: Simplify right side
    10,935.68x = 93,837,179.91
  5. Step 5: Solve for x
    x = 93,837,179.91/10,935.68
  6. Step 6: Final answer
    x = 8,580.83

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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.