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Finding the Fourth Proportional to 7,686.16, 10,607.15 and 4,499.77

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Solution

The fourth proportional to 7,686.16, 10,607.15 and 4,499.77 is: 6,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.16 : 10,607.15 = 4,499.77 : x
  2. Step 2: Convert to fraction form
    7,686.16/10,607.15 = 4,499.77/x
  3. Step 3: Cross multiply
    7,686.16x = 10,607.15 × 4,499.77
  4. Step 4: Simplify right side
    7,686.16x = 47,729,712.86
  5. Step 5: Solve for x
    x = 47,729,712.86/7,686.16
  6. Step 6: Final answer
    x = 6,209.83

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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.