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Finding the Fourth Proportional to 7,345.81, 10,138.53 and 5,353.89

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Solution

The fourth proportional to 7,345.81, 10,138.53 and 5,353.89 is: 7,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.81 : 10,138.53 = 5,353.89 : x
  2. Step 2: Convert to fraction form
    7,345.81/10,138.53 = 5,353.89/x
  3. Step 3: Cross multiply
    7,345.81x = 10,138.53 × 5,353.89
  4. Step 4: Simplify right side
    7,345.81x = 54,280,574.38
  5. Step 5: Solve for x
    x = 54,280,574.38/7,345.81
  6. Step 6: Final answer
    x = 7,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.