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Finding the Fourth Proportional to 10,953.57, 15,116.72 and 6,238.16

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Solution

The fourth proportional to 10,953.57, 15,116.72 and 6,238.16 is: 8,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.57 : 15,116.72 = 6,238.16 : x
  2. Step 2: Convert to fraction form
    10,953.57/15,116.72 = 6,238.16/x
  3. Step 3: Cross multiply
    10,953.57x = 15,116.72 × 6,238.16
  4. Step 4: Simplify right side
    10,953.57x = 94,300,411.26
  5. Step 5: Solve for x
    x = 94,300,411.26/10,953.57
  6. Step 6: Final answer
    x = 8,609.10

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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.