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Finding the Fourth Proportional to 7,358.21, 10,147.37 and 4,701

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Solution

The fourth proportional to 7,358.21, 10,147.37 and 4,701 is: 6,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.21 : 10,147.37 = 4,701 : x
  2. Step 2: Convert to fraction form
    7,358.21/10,147.37 = 4,701/x
  3. Step 3: Cross multiply
    7,358.21x = 10,147.37 × 4,701
  4. Step 4: Simplify right side
    7,358.21x = 47,702,762.87
  5. Step 5: Solve for x
    x = 47,702,762.87/7,358.21
  6. Step 6: Final answer
    x = 6,482.93

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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.