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Finding the Fourth Proportional to 7,284.34, 10,055.53 and 4,597.97

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Solution

The fourth proportional to 7,284.34, 10,055.53 and 4,597.97 is: 6,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.34 : 10,055.53 = 4,597.97 : x
  2. Step 2: Convert to fraction form
    7,284.34/10,055.53 = 4,597.97/x
  3. Step 3: Cross multiply
    7,284.34x = 10,055.53 × 4,597.97
  4. Step 4: Simplify right side
    7,284.34x = 46,235,025.27
  5. Step 5: Solve for x
    x = 46,235,025.27/7,284.34
  6. Step 6: Final answer
    x = 6,347.18

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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.