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Finding the Fourth Proportional to 7,689.34, 10,611.51 and 4,332.19

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Solution

The fourth proportional to 7,689.34, 10,611.51 and 4,332.19 is: 5,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.34 : 10,611.51 = 4,332.19 : x
  2. Step 2: Convert to fraction form
    7,689.34/10,611.51 = 4,332.19/x
  3. Step 3: Cross multiply
    7,689.34x = 10,611.51 × 4,332.19
  4. Step 4: Simplify right side
    7,689.34x = 45,971,077.51
  5. Step 5: Solve for x
    x = 45,971,077.51/7,689.34
  6. Step 6: Final answer
    x = 5,978.55

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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.