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Finding the Fourth Proportional to 10,388.12, 15,587 and 4,543.96

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Solution

The fourth proportional to 10,388.12, 15,587 and 4,543.96 is: 6,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.12 : 15,587 = 4,543.96 : x
  2. Step 2: Convert to fraction form
    10,388.12/15,587 = 4,543.96/x
  3. Step 3: Cross multiply
    10,388.12x = 15,587 × 4,543.96
  4. Step 4: Simplify right side
    10,388.12x = 70,826,704.52
  5. Step 5: Solve for x
    x = 70,826,704.52/10,388.12
  6. Step 6: Final answer
    x = 6,818.05

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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.