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Finding the Fourth Proportional to 7,460.65, 10,294.89 and 4,316.25

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Solution

The fourth proportional to 7,460.65, 10,294.89 and 4,316.25 is: 5,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.65 : 10,294.89 = 4,316.25 : x
  2. Step 2: Convert to fraction form
    7,460.65/10,294.89 = 4,316.25/x
  3. Step 3: Cross multiply
    7,460.65x = 10,294.89 × 4,316.25
  4. Step 4: Simplify right side
    7,460.65x = 44,435,267.49
  5. Step 5: Solve for x
    x = 44,435,267.49/7,460.65
  6. Step 6: Final answer
    x = 5,955.96

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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.