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Finding the Fourth Proportional to 7,802.93, 11,704.40 and 4,686.45

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Solution

The fourth proportional to 7,802.93, 11,704.40 and 4,686.45 is: 7,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.93 : 11,704.40 = 4,686.45 : x
  2. Step 2: Convert to fraction form
    7,802.93/11,704.40 = 4,686.45/x
  3. Step 3: Cross multiply
    7,802.93x = 11,704.40 × 4,686.45
  4. Step 4: Simplify right side
    7,802.93x = 54,852,061.95
  5. Step 5: Solve for x
    x = 54,852,061.95/7,802.93
  6. Step 6: Final answer
    x = 7,029.68

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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.