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Finding the Fourth Proportional to 10,273.60, 15,424.80 and 6,385.60

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Solution

The fourth proportional to 10,273.60, 15,424.80 and 6,385.60 is: 9,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.60 : 15,424.80 = 6,385.60 : x
  2. Step 2: Convert to fraction form
    10,273.60/15,424.80 = 6,385.60/x
  3. Step 3: Cross multiply
    10,273.60x = 15,424.80 × 6,385.60
  4. Step 4: Simplify right side
    10,273.60x = 98,496,602.88
  5. Step 5: Solve for x
    x = 98,496,602.88/10,273.60
  6. Step 6: Final answer
    x = 9,587.35

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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.