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Finding the Fourth Proportional to 7,715.30, 10,647.15 and 4,358.16

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Solution

The fourth proportional to 7,715.30, 10,647.15 and 4,358.16 is: 6,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.30 : 10,647.15 = 4,358.16 : x
  2. Step 2: Convert to fraction form
    7,715.30/10,647.15 = 4,358.16/x
  3. Step 3: Cross multiply
    7,715.30x = 10,647.15 × 4,358.16
  4. Step 4: Simplify right side
    7,715.30x = 46,401,983.24
  5. Step 5: Solve for x
    x = 46,401,983.24/7,715.30
  6. Step 6: Final answer
    x = 6,014.28

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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.