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Finding the Fourth Proportional to 10,528.96, 14,536.56 and 9,827.68

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Solution

The fourth proportional to 10,528.96, 14,536.56 and 9,827.68 is: 13,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.96 : 14,536.56 = 9,827.68 : x
  2. Step 2: Convert to fraction form
    10,528.96/14,536.56 = 9,827.68/x
  3. Step 3: Cross multiply
    10,528.96x = 14,536.56 × 9,827.68
  4. Step 4: Simplify right side
    10,528.96x = 142,860,659.98
  5. Step 5: Solve for x
    x = 142,860,659.98/10,528.96
  6. Step 6: Final answer
    x = 13,568.35

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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.