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Finding the Fourth Proportional to 10,473.76, 15,709.64 and 4,925.84

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Solution

The fourth proportional to 10,473.76, 15,709.64 and 4,925.84 is: 7,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.76 : 15,709.64 = 4,925.84 : x
  2. Step 2: Convert to fraction form
    10,473.76/15,709.64 = 4,925.84/x
  3. Step 3: Cross multiply
    10,473.76x = 15,709.64 × 4,925.84
  4. Step 4: Simplify right side
    10,473.76x = 77,383,173.10
  5. Step 5: Solve for x
    x = 77,383,173.10/10,473.76
  6. Step 6: Final answer
    x = 7,388.29

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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.