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Finding the Fourth Proportional to 10,547.38, 15,821.05 and 4,310.32

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Solution

The fourth proportional to 10,547.38, 15,821.05 and 4,310.32 is: 6,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.38 : 15,821.05 = 4,310.32 : x
  2. Step 2: Convert to fraction form
    10,547.38/15,821.05 = 4,310.32/x
  3. Step 3: Cross multiply
    10,547.38x = 15,821.05 × 4,310.32
  4. Step 4: Simplify right side
    10,547.38x = 68,193,788.24
  5. Step 5: Solve for x
    x = 68,193,788.24/10,547.38
  6. Step 6: Final answer
    x = 6,465.47

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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.