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Finding the Fourth Proportional to 7,509.60, 11,264.40 and 3,130.20

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Solution

The fourth proportional to 7,509.60, 11,264.40 and 3,130.20 is: 4,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.60 : 11,264.40 = 3,130.20 : x
  2. Step 2: Convert to fraction form
    7,509.60/11,264.40 = 3,130.20/x
  3. Step 3: Cross multiply
    7,509.60x = 11,264.40 × 3,130.20
  4. Step 4: Simplify right side
    7,509.60x = 35,259,824.88
  5. Step 5: Solve for x
    x = 35,259,824.88/7,509.60
  6. Step 6: Final answer
    x = 4,695.30

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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.