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Finding the Fourth Proportional to 10,546.34, 15,820.01 and 4,702.98

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Solution

The fourth proportional to 10,546.34, 15,820.01 and 4,702.98 is: 7,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.34 : 15,820.01 = 4,702.98 : x
  2. Step 2: Convert to fraction form
    10,546.34/15,820.01 = 4,702.98/x
  3. Step 3: Cross multiply
    10,546.34x = 15,820.01 × 4,702.98
  4. Step 4: Simplify right side
    10,546.34x = 74,401,190.63
  5. Step 5: Solve for x
    x = 74,401,190.63/10,546.34
  6. Step 6: Final answer
    x = 7,054.69

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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.