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Finding the Fourth Proportional to 8,368.64, 11,547.89 and 5,011.39

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Solution

The fourth proportional to 8,368.64, 11,547.89 and 5,011.39 is: 6,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.64 : 11,547.89 = 5,011.39 : x
  2. Step 2: Convert to fraction form
    8,368.64/11,547.89 = 5,011.39/x
  3. Step 3: Cross multiply
    8,368.64x = 11,547.89 × 5,011.39
  4. Step 4: Simplify right side
    8,368.64x = 57,870,922.73
  5. Step 5: Solve for x
    x = 57,870,922.73/8,368.64
  6. Step 6: Final answer
    x = 6,915.22

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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.