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Finding the Fourth Proportional to 10,537.66, 15,794.34 and 4,992.40

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Solution

The fourth proportional to 10,537.66, 15,794.34 and 4,992.40 is: 7,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.66 : 15,794.34 = 4,992.40 : x
  2. Step 2: Convert to fraction form
    10,537.66/15,794.34 = 4,992.40/x
  3. Step 3: Cross multiply
    10,537.66x = 15,794.34 × 4,992.40
  4. Step 4: Simplify right side
    10,537.66x = 78,851,663.02
  5. Step 5: Solve for x
    x = 78,851,663.02/10,537.66
  6. Step 6: Final answer
    x = 7,482.84

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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.