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Finding the Fourth Proportional to 7,509.70, 11,252.40 and 4,731.40

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Solution

The fourth proportional to 7,509.70, 11,252.40 and 4,731.40 is: 7,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.70 : 11,252.40 = 4,731.40 : x
  2. Step 2: Convert to fraction form
    7,509.70/11,252.40 = 4,731.40/x
  3. Step 3: Cross multiply
    7,509.70x = 11,252.40 × 4,731.40
  4. Step 4: Simplify right side
    7,509.70x = 53,239,605.36
  5. Step 5: Solve for x
    x = 53,239,605.36/7,509.70
  6. Step 6: Final answer
    x = 7,089.45

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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.