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Finding the Fourth Proportional to 10,386, 14,332.74 and 5,670.33

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Solution

The fourth proportional to 10,386, 14,332.74 and 5,670.33 is: 7,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386 : 14,332.74 = 5,670.33 : x
  2. Step 2: Convert to fraction form
    10,386/14,332.74 = 5,670.33/x
  3. Step 3: Cross multiply
    10,386x = 14,332.74 × 5,670.33
  4. Step 4: Simplify right side
    10,386x = 81,271,365.60
  5. Step 5: Solve for x
    x = 81,271,365.60/10,386
  6. Step 6: Final answer
    x = 7,825.09

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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.