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Finding the Fourth Proportional to 7,583.49, 10,470.06 and 7,215.21

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Solution

The fourth proportional to 7,583.49, 10,470.06 and 7,215.21 is: 9,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.49 : 10,470.06 = 7,215.21 : x
  2. Step 2: Convert to fraction form
    7,583.49/10,470.06 = 7,215.21/x
  3. Step 3: Cross multiply
    7,583.49x = 10,470.06 × 7,215.21
  4. Step 4: Simplify right side
    7,583.49x = 75,543,681.61
  5. Step 5: Solve for x
    x = 75,543,681.61/7,583.49
  6. Step 6: Final answer
    x = 9,961.60

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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.