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Finding the Fourth Proportional to 11,152, 15,389.76 and 6,184

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Solution

The fourth proportional to 11,152, 15,389.76 and 6,184 is: 8,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152 : 15,389.76 = 6,184 : x
  2. Step 2: Convert to fraction form
    11,152/15,389.76 = 6,184/x
  3. Step 3: Cross multiply
    11,152x = 15,389.76 × 6,184
  4. Step 4: Simplify right side
    11,152x = 95,170,275.84
  5. Step 5: Solve for x
    x = 95,170,275.84/11,152
  6. Step 6: Final answer
    x = 8,533.92

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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.