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Finding the Fourth Proportional to 7,455.51, 10,288.53 and 4,098.38

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Solution

The fourth proportional to 7,455.51, 10,288.53 and 4,098.38 is: 5,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.51 : 10,288.53 = 4,098.38 : x
  2. Step 2: Convert to fraction form
    7,455.51/10,288.53 = 4,098.38/x
  3. Step 3: Cross multiply
    7,455.51x = 10,288.53 × 4,098.38
  4. Step 4: Simplify right side
    7,455.51x = 42,166,254.14
  5. Step 5: Solve for x
    x = 42,166,254.14/7,455.51
  6. Step 6: Final answer
    x = 5,655.72

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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.