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Finding the Fourth Proportional to 10,455.89, 15,689.22 and 6,948.32

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Solution

The fourth proportional to 10,455.89, 15,689.22 and 6,948.32 is: 10,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.89 : 15,689.22 = 6,948.32 : x
  2. Step 2: Convert to fraction form
    10,455.89/15,689.22 = 6,948.32/x
  3. Step 3: Cross multiply
    10,455.89x = 15,689.22 × 6,948.32
  4. Step 4: Simplify right side
    10,455.89x = 109,013,636.15
  5. Step 5: Solve for x
    x = 109,013,636.15/10,455.89
  6. Step 6: Final answer
    x = 10,426.05

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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.