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Finding the Fourth Proportional to 11,317.36, 15,618 and 6,349.36

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Solution

The fourth proportional to 11,317.36, 15,618 and 6,349.36 is: 8,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.36 : 15,618 = 6,349.36 : x
  2. Step 2: Convert to fraction form
    11,317.36/15,618 = 6,349.36/x
  3. Step 3: Cross multiply
    11,317.36x = 15,618 × 6,349.36
  4. Step 4: Simplify right side
    11,317.36x = 99,164,304.48
  5. Step 5: Solve for x
    x = 99,164,304.48/11,317.36
  6. Step 6: Final answer
    x = 8,762.14

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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.