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Finding the Fourth Proportional to 7,605.12, 10,493.64 and 4,460.16

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Solution

The fourth proportional to 7,605.12, 10,493.64 and 4,460.16 is: 6,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.12 : 10,493.64 = 4,460.16 : x
  2. Step 2: Convert to fraction form
    7,605.12/10,493.64 = 4,460.16/x
  3. Step 3: Cross multiply
    7,605.12x = 10,493.64 × 4,460.16
  4. Step 4: Simplify right side
    7,605.12x = 46,803,313.38
  5. Step 5: Solve for x
    x = 46,803,313.38/7,605.12
  6. Step 6: Final answer
    x = 6,154.18

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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.