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Finding the Fourth Proportional to 7,024.93, 9,686.45 and 4,788.11

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Solution

The fourth proportional to 7,024.93, 9,686.45 and 4,788.11 is: 6,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.93 : 9,686.45 = 4,788.11 : x
  2. Step 2: Convert to fraction form
    7,024.93/9,686.45 = 4,788.11/x
  3. Step 3: Cross multiply
    7,024.93x = 9,686.45 × 4,788.11
  4. Step 4: Simplify right side
    7,024.93x = 46,379,824.30
  5. Step 5: Solve for x
    x = 46,379,824.30/7,024.93
  6. Step 6: Final answer
    x = 6,602.18

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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.