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Finding the Fourth Proportional to 7,564.71, 10,438.69 and 4,207.53

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Solution

The fourth proportional to 7,564.71, 10,438.69 and 4,207.53 is: 5,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.71 : 10,438.69 = 4,207.53 : x
  2. Step 2: Convert to fraction form
    7,564.71/10,438.69 = 4,207.53/x
  3. Step 3: Cross multiply
    7,564.71x = 10,438.69 × 4,207.53
  4. Step 4: Simplify right side
    7,564.71x = 43,921,101.34
  5. Step 5: Solve for x
    x = 43,921,101.34/7,564.71
  6. Step 6: Final answer
    x = 5,806.05

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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.