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Finding the Fourth Proportional to 7,102.03, 9,802.55 and 4,837.11

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Solution

The fourth proportional to 7,102.03, 9,802.55 and 4,837.11 is: 6,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.03 : 9,802.55 = 4,837.11 : x
  2. Step 2: Convert to fraction form
    7,102.03/9,802.55 = 4,837.11/x
  3. Step 3: Cross multiply
    7,102.03x = 9,802.55 × 4,837.11
  4. Step 4: Simplify right side
    7,102.03x = 47,416,012.63
  5. Step 5: Solve for x
    x = 47,416,012.63/7,102.03
  6. Step 6: Final answer
    x = 6,676.41

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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.