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Finding the Fourth Proportional to 11,131, 15,360.64 and 6,095.16

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Solution

The fourth proportional to 11,131, 15,360.64 and 6,095.16 is: 8,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131 : 15,360.64 = 6,095.16 : x
  2. Step 2: Convert to fraction form
    11,131/15,360.64 = 6,095.16/x
  3. Step 3: Cross multiply
    11,131x = 15,360.64 × 6,095.16
  4. Step 4: Simplify right side
    11,131x = 93,625,558.50
  5. Step 5: Solve for x
    x = 93,625,558.50/11,131
  6. Step 6: Final answer
    x = 8,411.24

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Why These Related Problems?

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