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Finding the Fourth Proportional to 10,476.32, 15,709.52 and 3,808.10

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Solution

The fourth proportional to 10,476.32, 15,709.52 and 3,808.10 is: 5,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.32 : 15,709.52 = 3,808.10 : x
  2. Step 2: Convert to fraction form
    10,476.32/15,709.52 = 3,808.10/x
  3. Step 3: Cross multiply
    10,476.32x = 15,709.52 × 3,808.10
  4. Step 4: Simplify right side
    10,476.32x = 59,823,471.91
  5. Step 5: Solve for x
    x = 59,823,471.91/10,476.32
  6. Step 6: Final answer
    x = 5,710.35

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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.