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Finding the Fourth Proportional to 7,031.24, 9,702.82 and 4,045.04

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Solution

The fourth proportional to 7,031.24, 9,702.82 and 4,045.04 is: 5,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.24 : 9,702.82 = 4,045.04 : x
  2. Step 2: Convert to fraction form
    7,031.24/9,702.82 = 4,045.04/x
  3. Step 3: Cross multiply
    7,031.24x = 9,702.82 × 4,045.04
  4. Step 4: Simplify right side
    7,031.24x = 39,248,295.01
  5. Step 5: Solve for x
    x = 39,248,295.01/7,031.24
  6. Step 6: Final answer
    x = 5,581.99

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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.