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Finding the Fourth Proportional to 10,566.25, 14,573.28 and 7,378.49

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Solution

The fourth proportional to 10,566.25, 14,573.28 and 7,378.49 is: 10,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.25 : 14,573.28 = 7,378.49 : x
  2. Step 2: Convert to fraction form
    10,566.25/14,573.28 = 7,378.49/x
  3. Step 3: Cross multiply
    10,566.25x = 14,573.28 × 7,378.49
  4. Step 4: Simplify right side
    10,566.25x = 107,528,864.85
  5. Step 5: Solve for x
    x = 107,528,864.85/10,566.25
  6. Step 6: Final answer
    x = 10,176.64

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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.