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Finding the Fourth Proportional to 10,920.42, 15,070.32 and 6,205.14

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Solution

The fourth proportional to 10,920.42, 15,070.32 and 6,205.14 is: 8,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.42 : 15,070.32 = 6,205.14 : x
  2. Step 2: Convert to fraction form
    10,920.42/15,070.32 = 6,205.14/x
  3. Step 3: Cross multiply
    10,920.42x = 15,070.32 × 6,205.14
  4. Step 4: Simplify right side
    10,920.42x = 93,513,445.44
  5. Step 5: Solve for x
    x = 93,513,445.44/10,920.42
  6. Step 6: Final answer
    x = 8,563.17

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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.