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Finding the Fourth Proportional to 10,564.60, 15,846.90 and 5,315.80

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Solution

The fourth proportional to 10,564.60, 15,846.90 and 5,315.80 is: 7,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.60 : 15,846.90 = 5,315.80 : x
  2. Step 2: Convert to fraction form
    10,564.60/15,846.90 = 5,315.80/x
  3. Step 3: Cross multiply
    10,564.60x = 15,846.90 × 5,315.80
  4. Step 4: Simplify right side
    10,564.60x = 84,238,951.02
  5. Step 5: Solve for x
    x = 84,238,951.02/10,564.60
  6. Step 6: Final answer
    x = 7,973.70

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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.