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Finding the Fourth Proportional to 10,510.12, 15,766.80 and 3,583

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Solution

The fourth proportional to 10,510.12, 15,766.80 and 3,583 is: 5,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.12 : 15,766.80 = 3,583 : x
  2. Step 2: Convert to fraction form
    10,510.12/15,766.80 = 3,583/x
  3. Step 3: Cross multiply
    10,510.12x = 15,766.80 × 3,583
  4. Step 4: Simplify right side
    10,510.12x = 56,492,444.40
  5. Step 5: Solve for x
    x = 56,492,444.40/10,510.12
  6. Step 6: Final answer
    x = 5,375.05

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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.