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Finding the Fourth Proportional to 7,702.40, 10,629.29 and 4,345.20

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Solution

The fourth proportional to 7,702.40, 10,629.29 and 4,345.20 is: 5,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.40 : 10,629.29 = 4,345.20 : x
  2. Step 2: Convert to fraction form
    7,702.40/10,629.29 = 4,345.20/x
  3. Step 3: Cross multiply
    7,702.40x = 10,629.29 × 4,345.20
  4. Step 4: Simplify right side
    7,702.40x = 46,186,390.91
  5. Step 5: Solve for x
    x = 46,186,390.91/7,702.40
  6. Step 6: Final answer
    x = 5,996.36

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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.