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Finding the Fourth Proportional to 7,564.95, 10,439.75 and 4,207.82

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Solution

The fourth proportional to 7,564.95, 10,439.75 and 4,207.82 is: 5,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.95 : 10,439.75 = 4,207.82 : x
  2. Step 2: Convert to fraction form
    7,564.95/10,439.75 = 4,207.82/x
  3. Step 3: Cross multiply
    7,564.95x = 10,439.75 × 4,207.82
  4. Step 4: Simplify right side
    7,564.95x = 43,928,547.17
  5. Step 5: Solve for x
    x = 43,928,547.17/7,564.95
  6. Step 6: Final answer
    x = 5,806.85

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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.