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Finding the Fourth Proportional to 7,345.80, 10,138.47 and 4,361.76

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Solution

The fourth proportional to 7,345.80, 10,138.47 and 4,361.76 is: 6,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.80 : 10,138.47 = 4,361.76 : x
  2. Step 2: Convert to fraction form
    7,345.80/10,138.47 = 4,361.76/x
  3. Step 3: Cross multiply
    7,345.80x = 10,138.47 × 4,361.76
  4. Step 4: Simplify right side
    7,345.80x = 44,221,572.91
  5. Step 5: Solve for x
    x = 44,221,572.91/7,345.80
  6. Step 6: Final answer
    x = 6,019.98

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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.