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Finding the Fourth Proportional to 10,583.10, 15,874.65 and 10,510.20

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Solution

The fourth proportional to 10,583.10, 15,874.65 and 10,510.20 is: 15,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.10 : 15,874.65 = 10,510.20 : x
  2. Step 2: Convert to fraction form
    10,583.10/15,874.65 = 10,510.20/x
  3. Step 3: Cross multiply
    10,583.10x = 15,874.65 × 10,510.20
  4. Step 4: Simplify right side
    10,583.10x = 166,845,746.43
  5. Step 5: Solve for x
    x = 166,845,746.43/10,583.10
  6. Step 6: Final answer
    x = 15,765.30

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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.