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Finding the Fourth Proportional to 11,314.10, 15,612.91 and 6,277.93

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Solution

The fourth proportional to 11,314.10, 15,612.91 and 6,277.93 is: 8,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.10 : 15,612.91 = 6,277.93 : x
  2. Step 2: Convert to fraction form
    11,314.10/15,612.91 = 6,277.93/x
  3. Step 3: Cross multiply
    11,314.10x = 15,612.91 × 6,277.93
  4. Step 4: Simplify right side
    11,314.10x = 98,016,701.35
  5. Step 5: Solve for x
    x = 98,016,701.35/11,314.10
  6. Step 6: Final answer
    x = 8,663.23

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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.