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Finding the Fourth Proportional to 7,459.10, 10,458.10 and 7,459.10

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Solution

The fourth proportional to 7,459.10, 10,458.10 and 7,459.10 is: 10,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.10 : 10,458.10 = 7,459.10 : x
  2. Step 2: Convert to fraction form
    7,459.10/10,458.10 = 7,459.10/x
  3. Step 3: Cross multiply
    7,459.10x = 10,458.10 × 7,459.10
  4. Step 4: Simplify right side
    7,459.10x = 78,008,013.71
  5. Step 5: Solve for x
    x = 78,008,013.71/7,459.10
  6. Step 6: Final answer
    x = 10,458.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.