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Finding the Fourth Proportional to 10,579.26, 15,775.76 and 9,840.54

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Solution

The fourth proportional to 10,579.26, 15,775.76 and 9,840.54 is: 14,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.26 : 15,775.76 = 9,840.54 : x
  2. Step 2: Convert to fraction form
    10,579.26/15,775.76 = 9,840.54/x
  3. Step 3: Cross multiply
    10,579.26x = 15,775.76 × 9,840.54
  4. Step 4: Simplify right side
    10,579.26x = 155,241,948.11
  5. Step 5: Solve for x
    x = 155,241,948.11/10,579.26
  6. Step 6: Final answer
    x = 14,674.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.