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Finding the Fourth Proportional to 10,285.16, 15,424.50 and 6,534.32

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Solution

The fourth proportional to 10,285.16, 15,424.50 and 6,534.32 is: 9,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.16 : 15,424.50 = 6,534.32 : x
  2. Step 2: Convert to fraction form
    10,285.16/15,424.50 = 6,534.32/x
  3. Step 3: Cross multiply
    10,285.16x = 15,424.50 × 6,534.32
  4. Step 4: Simplify right side
    10,285.16x = 100,788,618.84
  5. Step 5: Solve for x
    x = 100,788,618.84/10,285.16
  6. Step 6: Final answer
    x = 9,799.42

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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.