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Finding the Fourth Proportional to 10,547.70, 15,812.24 and 8,997.66

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Solution

The fourth proportional to 10,547.70, 15,812.24 and 8,997.66 is: 13,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.70 : 15,812.24 = 8,997.66 : x
  2. Step 2: Convert to fraction form
    10,547.70/15,812.24 = 8,997.66/x
  3. Step 3: Cross multiply
    10,547.70x = 15,812.24 × 8,997.66
  4. Step 4: Simplify right side
    10,547.70x = 142,273,114.37
  5. Step 5: Solve for x
    x = 142,273,114.37/10,547.70
  6. Step 6: Final answer
    x = 13,488.54

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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.