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Finding the Fourth Proportional to 7,587.89, 10,471.10 and 4,230.69

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Solution

The fourth proportional to 7,587.89, 10,471.10 and 4,230.69 is: 5,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.89 : 10,471.10 = 4,230.69 : x
  2. Step 2: Convert to fraction form
    7,587.89/10,471.10 = 4,230.69/x
  3. Step 3: Cross multiply
    7,587.89x = 10,471.10 × 4,230.69
  4. Step 4: Simplify right side
    7,587.89x = 44,299,956.91
  5. Step 5: Solve for x
    x = 44,299,956.91/7,587.89
  6. Step 6: Final answer
    x = 5,838.25

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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.