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Finding the Fourth Proportional to 7,460.10, 10,294.02 and 4,475.52

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Solution

The fourth proportional to 7,460.10, 10,294.02 and 4,475.52 is: 6,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.10 : 10,294.02 = 4,475.52 : x
  2. Step 2: Convert to fraction form
    7,460.10/10,294.02 = 4,475.52/x
  3. Step 3: Cross multiply
    7,460.10x = 10,294.02 × 4,475.52
  4. Step 4: Simplify right side
    7,460.10x = 46,071,092.39
  5. Step 5: Solve for x
    x = 46,071,092.39/7,460.10
  6. Step 6: Final answer
    x = 6,175.67

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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.