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Finding the Fourth Proportional to 11,368.47, 15,688.25 and 6,332.68

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Solution

The fourth proportional to 11,368.47, 15,688.25 and 6,332.68 is: 8,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.47 : 15,688.25 = 6,332.68 : x
  2. Step 2: Convert to fraction form
    11,368.47/15,688.25 = 6,332.68/x
  3. Step 3: Cross multiply
    11,368.47x = 15,688.25 × 6,332.68
  4. Step 4: Simplify right side
    11,368.47x = 99,348,678.70
  5. Step 5: Solve for x
    x = 99,348,678.70/11,368.47
  6. Step 6: Final answer
    x = 8,738.97

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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.