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Finding the Fourth Proportional to 7,802.95, 10,771.75 and 4,820.53

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Solution

The fourth proportional to 7,802.95, 10,771.75 and 4,820.53 is: 6,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.95 : 10,771.75 = 4,820.53 : x
  2. Step 2: Convert to fraction form
    7,802.95/10,771.75 = 4,820.53/x
  3. Step 3: Cross multiply
    7,802.95x = 10,771.75 × 4,820.53
  4. Step 4: Simplify right side
    7,802.95x = 51,925,544.03
  5. Step 5: Solve for x
    x = 51,925,544.03/7,802.95
  6. Step 6: Final answer
    x = 6,654.60

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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.