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Finding the Fourth Proportional to 7,643.67, 10,547.33 and 4,499.25

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Solution

The fourth proportional to 7,643.67, 10,547.33 and 4,499.25 is: 6,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.67 : 10,547.33 = 4,499.25 : x
  2. Step 2: Convert to fraction form
    7,643.67/10,547.33 = 4,499.25/x
  3. Step 3: Cross multiply
    7,643.67x = 10,547.33 × 4,499.25
  4. Step 4: Simplify right side
    7,643.67x = 47,455,052.01
  5. Step 5: Solve for x
    x = 47,455,052.01/7,643.67
  6. Step 6: Final answer
    x = 6,208.41

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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.