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Finding the Fourth Proportional to 10,357.68, 15,526.48 and 4,115.64

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Solution

The fourth proportional to 10,357.68, 15,526.48 and 4,115.64 is: 6,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.68 : 15,526.48 = 4,115.64 : x
  2. Step 2: Convert to fraction form
    10,357.68/15,526.48 = 4,115.64/x
  3. Step 3: Cross multiply
    10,357.68x = 15,526.48 × 4,115.64
  4. Step 4: Simplify right side
    10,357.68x = 63,901,402.15
  5. Step 5: Solve for x
    x = 63,901,402.15/10,357.68
  6. Step 6: Final answer
    x = 6,169.47

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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.