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Finding the Fourth Proportional to 10,543.68, 15,818.72 and 4,388.16

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Solution

The fourth proportional to 10,543.68, 15,818.72 and 4,388.16 is: 6,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.68 : 15,818.72 = 4,388.16 : x
  2. Step 2: Convert to fraction form
    10,543.68/15,818.72 = 4,388.16/x
  3. Step 3: Cross multiply
    10,543.68x = 15,818.72 × 4,388.16
  4. Step 4: Simplify right side
    10,543.68x = 69,415,074.36
  5. Step 5: Solve for x
    x = 69,415,074.36/10,543.68
  6. Step 6: Final answer
    x = 6,583.57

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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.