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Finding the Fourth Proportional to 7,644.51, 10,547.82 and 4,995.81

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Solution

The fourth proportional to 7,644.51, 10,547.82 and 4,995.81 is: 6,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.51 : 10,547.82 = 4,995.81 : x
  2. Step 2: Convert to fraction form
    7,644.51/10,547.82 = 4,995.81/x
  3. Step 3: Cross multiply
    7,644.51x = 10,547.82 × 4,995.81
  4. Step 4: Simplify right side
    7,644.51x = 52,694,904.63
  5. Step 5: Solve for x
    x = 52,694,904.63/7,644.51
  6. Step 6: Final answer
    x = 6,893.17

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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.