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Finding the Fourth Proportional to 7,644.26, 10,547.16 and 4,499.84

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Solution

The fourth proportional to 7,644.26, 10,547.16 and 4,499.84 is: 6,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.26 : 10,547.16 = 4,499.84 : x
  2. Step 2: Convert to fraction form
    7,644.26/10,547.16 = 4,499.84/x
  3. Step 3: Cross multiply
    7,644.26x = 10,547.16 × 4,499.84
  4. Step 4: Simplify right side
    7,644.26x = 47,460,532.45
  5. Step 5: Solve for x
    x = 47,460,532.45/7,644.26
  6. Step 6: Final answer
    x = 6,208.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.