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Finding the Fourth Proportional to 7,308, 10,085.58 and 4,164.12

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Solution

The fourth proportional to 7,308, 10,085.58 and 4,164.12 is: 5,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308 : 10,085.58 = 4,164.12 : x
  2. Step 2: Convert to fraction form
    7,308/10,085.58 = 4,164.12/x
  3. Step 3: Cross multiply
    7,308x = 10,085.58 × 4,164.12
  4. Step 4: Simplify right side
    7,308x = 41,997,565.39
  5. Step 5: Solve for x
    x = 41,997,565.39/7,308
  6. Step 6: Final answer
    x = 5,746.79

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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.