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Finding the Fourth Proportional to 10,509.02, 15,758.41 and 3,752.30

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Solution

The fourth proportional to 10,509.02, 15,758.41 and 3,752.30 is: 5,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.02 : 15,758.41 = 3,752.30 : x
  2. Step 2: Convert to fraction form
    10,509.02/15,758.41 = 3,752.30/x
  3. Step 3: Cross multiply
    10,509.02x = 15,758.41 × 3,752.30
  4. Step 4: Simplify right side
    10,509.02x = 59,130,281.84
  5. Step 5: Solve for x
    x = 59,130,281.84/10,509.02
  6. Step 6: Final answer
    x = 5,626.62

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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.