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Finding the Fourth Proportional to 10,342.32, 15,513.48 and 4,182

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Solution

The fourth proportional to 10,342.32, 15,513.48 and 4,182 is: 6,273

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.32 : 15,513.48 = 4,182 : x
  2. Step 2: Convert to fraction form
    10,342.32/15,513.48 = 4,182/x
  3. Step 3: Cross multiply
    10,342.32x = 15,513.48 × 4,182
  4. Step 4: Simplify right side
    10,342.32x = 64,877,373.36
  5. Step 5: Solve for x
    x = 64,877,373.36/10,342.32
  6. Step 6: Final answer
    x = 6,273

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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.