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Finding the Fourth Proportional to 7,587.86, 10,471.30 and 4,230.90

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Solution

The fourth proportional to 7,587.86, 10,471.30 and 4,230.90 is: 5,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.86 : 10,471.30 = 4,230.90 : x
  2. Step 2: Convert to fraction form
    7,587.86/10,471.30 = 4,230.90/x
  3. Step 3: Cross multiply
    7,587.86x = 10,471.30 × 4,230.90
  4. Step 4: Simplify right side
    7,587.86x = 44,303,023.17
  5. Step 5: Solve for x
    x = 44,303,023.17/7,587.86
  6. Step 6: Final answer
    x = 5,838.67

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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.