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Finding the Fourth Proportional to 10,357.02, 14,292.72 and 6,165

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Solution

The fourth proportional to 10,357.02, 14,292.72 and 6,165 is: 8,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.02 : 14,292.72 = 6,165 : x
  2. Step 2: Convert to fraction form
    10,357.02/14,292.72 = 6,165/x
  3. Step 3: Cross multiply
    10,357.02x = 14,292.72 × 6,165
  4. Step 4: Simplify right side
    10,357.02x = 88,114,618.80
  5. Step 5: Solve for x
    x = 88,114,618.80/10,357.02
  6. Step 6: Final answer
    x = 8,507.72

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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.