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Finding the Fourth Proportional to 10,342.10, 15,513.15 and 9,856.10

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Solution

The fourth proportional to 10,342.10, 15,513.15 and 9,856.10 is: 14,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.10 : 15,513.15 = 9,856.10 : x
  2. Step 2: Convert to fraction form
    10,342.10/15,513.15 = 9,856.10/x
  3. Step 3: Cross multiply
    10,342.10x = 15,513.15 × 9,856.10
  4. Step 4: Simplify right side
    10,342.10x = 152,899,157.72
  5. Step 5: Solve for x
    x = 152,899,157.72/10,342.10
  6. Step 6: Final answer
    x = 14,784.15

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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.