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Finding the Fourth Proportional to 7,031.30, 9,705.09 and 4,048.10

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Solution

The fourth proportional to 7,031.30, 9,705.09 and 4,048.10 is: 5,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.30 : 9,705.09 = 4,048.10 : x
  2. Step 2: Convert to fraction form
    7,031.30/9,705.09 = 4,048.10/x
  3. Step 3: Cross multiply
    7,031.30x = 9,705.09 × 4,048.10
  4. Step 4: Simplify right side
    7,031.30x = 39,287,174.83
  5. Step 5: Solve for x
    x = 39,287,174.83/7,031.30
  6. Step 6: Final answer
    x = 5,587.47

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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.