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Finding the Fourth Proportional to 7,700.81, 10,627.13 and 4,164.02

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Solution

The fourth proportional to 7,700.81, 10,627.13 and 4,164.02 is: 5,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.81 : 10,627.13 = 4,164.02 : x
  2. Step 2: Convert to fraction form
    7,700.81/10,627.13 = 4,164.02/x
  3. Step 3: Cross multiply
    7,700.81x = 10,627.13 × 4,164.02
  4. Step 4: Simplify right side
    7,700.81x = 44,251,587.61
  5. Step 5: Solve for x
    x = 44,251,587.61/7,700.81
  6. Step 6: Final answer
    x = 5,746.35

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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.