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Finding the Fourth Proportional to 7,264.81, 10,877.64 and 4,618

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Solution

The fourth proportional to 7,264.81, 10,877.64 and 4,618 is: 6,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.81 : 10,877.64 = 4,618 : x
  2. Step 2: Convert to fraction form
    7,264.81/10,877.64 = 4,618/x
  3. Step 3: Cross multiply
    7,264.81x = 10,877.64 × 4,618
  4. Step 4: Simplify right side
    7,264.81x = 50,232,941.52
  5. Step 5: Solve for x
    x = 50,232,941.52/7,264.81
  6. Step 6: Final answer
    x = 6,914.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.