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Finding the Fourth Proportional to 10,750.56, 14,824.80 and 7,566.72

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Solution

The fourth proportional to 10,750.56, 14,824.80 and 7,566.72 is: 10,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.56 : 14,824.80 = 7,566.72 : x
  2. Step 2: Convert to fraction form
    10,750.56/14,824.80 = 7,566.72/x
  3. Step 3: Cross multiply
    10,750.56x = 14,824.80 × 7,566.72
  4. Step 4: Simplify right side
    10,750.56x = 112,175,110.66
  5. Step 5: Solve for x
    x = 112,175,110.66/10,750.56
  6. Step 6: Final answer
    x = 10,434.35

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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.