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Finding the Fourth Proportional to 7,005.04, 10,509.12 and 2,388

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Solution

The fourth proportional to 7,005.04, 10,509.12 and 2,388 is: 3,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.04 : 10,509.12 = 2,388 : x
  2. Step 2: Convert to fraction form
    7,005.04/10,509.12 = 2,388/x
  3. Step 3: Cross multiply
    7,005.04x = 10,509.12 × 2,388
  4. Step 4: Simplify right side
    7,005.04x = 25,095,778.56
  5. Step 5: Solve for x
    x = 25,095,778.56/7,005.04
  6. Step 6: Final answer
    x = 3,582.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.