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Finding the Fourth Proportional to 7,602.40, 11,409.39 and 6,125.23

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Solution

The fourth proportional to 7,602.40, 11,409.39 and 6,125.23 is: 9,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.40 : 11,409.39 = 6,125.23 : x
  2. Step 2: Convert to fraction form
    7,602.40/11,409.39 = 6,125.23/x
  3. Step 3: Cross multiply
    7,602.40x = 11,409.39 × 6,125.23
  4. Step 4: Simplify right side
    7,602.40x = 69,885,152.17
  5. Step 5: Solve for x
    x = 69,885,152.17/7,602.40
  6. Step 6: Final answer
    x = 9,192.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.