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Finding the Fourth Proportional to 10,202.25, 15,303.61 and 5,810.48

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Solution

The fourth proportional to 10,202.25, 15,303.61 and 5,810.48 is: 8,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.25 : 15,303.61 = 5,810.48 : x
  2. Step 2: Convert to fraction form
    10,202.25/15,303.61 = 5,810.48/x
  3. Step 3: Cross multiply
    10,202.25x = 15,303.61 × 5,810.48
  4. Step 4: Simplify right side
    10,202.25x = 88,921,377.71
  5. Step 5: Solve for x
    x = 88,921,377.71/10,202.25
  6. Step 6: Final answer
    x = 8,715.86

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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.