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Finding the Fourth Proportional to 10,527.75, 15,784.47 and 7,196.58

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Solution

The fourth proportional to 10,527.75, 15,784.47 and 7,196.58 is: 10,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.75 : 15,784.47 = 7,196.58 : x
  2. Step 2: Convert to fraction form
    10,527.75/15,784.47 = 7,196.58/x
  3. Step 3: Cross multiply
    10,527.75x = 15,784.47 × 7,196.58
  4. Step 4: Simplify right side
    10,527.75x = 113,594,201.11
  5. Step 5: Solve for x
    x = 113,594,201.11/10,527.75
  6. Step 6: Final answer
    x = 10,789.98

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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.