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Finding the Fourth Proportional to 10,046.16, 13,856.13 and 8,461.26

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Solution

The fourth proportional to 10,046.16, 13,856.13 and 8,461.26 is: 11,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.16 : 13,856.13 = 8,461.26 : x
  2. Step 2: Convert to fraction form
    10,046.16/13,856.13 = 8,461.26/x
  3. Step 3: Cross multiply
    10,046.16x = 13,856.13 × 8,461.26
  4. Step 4: Simplify right side
    10,046.16x = 117,240,318.52
  5. Step 5: Solve for x
    x = 117,240,318.52/10,046.16
  6. Step 6: Final answer
    x = 11,670.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.