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Finding the Fourth Proportional to 7,399.62, 10,210.14 and 4,564.71

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Solution

The fourth proportional to 7,399.62, 10,210.14 and 4,564.71 is: 6,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.62 : 10,210.14 = 4,564.71 : x
  2. Step 2: Convert to fraction form
    7,399.62/10,210.14 = 4,564.71/x
  3. Step 3: Cross multiply
    7,399.62x = 10,210.14 × 4,564.71
  4. Step 4: Simplify right side
    7,399.62x = 46,606,328.16
  5. Step 5: Solve for x
    x = 46,606,328.16/7,399.62
  6. Step 6: Final answer
    x = 6,298.48

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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.