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Finding the Fourth Proportional to 7,477.95, 10,319.57 and 4,120.76

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Solution

The fourth proportional to 7,477.95, 10,319.57 and 4,120.76 is: 5,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.95 : 10,319.57 = 4,120.76 : x
  2. Step 2: Convert to fraction form
    7,477.95/10,319.57 = 4,120.76/x
  3. Step 3: Cross multiply
    7,477.95x = 10,319.57 × 4,120.76
  4. Step 4: Simplify right side
    7,477.95x = 42,524,399.07
  5. Step 5: Solve for x
    x = 42,524,399.07/7,477.95
  6. Step 6: Final answer
    x = 5,686.64

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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.