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Finding the Fourth Proportional to 10,405.80, 15,608.70 and 10,211.40

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Solution

The fourth proportional to 10,405.80, 15,608.70 and 10,211.40 is: 15,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.80 : 15,608.70 = 10,211.40 : x
  2. Step 2: Convert to fraction form
    10,405.80/15,608.70 = 10,211.40/x
  3. Step 3: Cross multiply
    10,405.80x = 15,608.70 × 10,211.40
  4. Step 4: Simplify right side
    10,405.80x = 159,386,679.18
  5. Step 5: Solve for x
    x = 159,386,679.18/10,405.80
  6. Step 6: Final answer
    x = 15,317.10

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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.