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Finding the Fourth Proportional to 7,347.78, 10,142.10 and 4,702.32

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Solution

The fourth proportional to 7,347.78, 10,142.10 and 4,702.32 is: 6,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.78 : 10,142.10 = 4,702.32 : x
  2. Step 2: Convert to fraction form
    7,347.78/10,142.10 = 4,702.32/x
  3. Step 3: Cross multiply
    7,347.78x = 10,142.10 × 4,702.32
  4. Step 4: Simplify right side
    7,347.78x = 47,691,399.67
  5. Step 5: Solve for x
    x = 47,691,399.67/7,347.78
  6. Step 6: Final answer
    x = 6,490.59

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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.