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Finding the Fourth Proportional to 7,915.64, 10,926.35 and 4,559.81

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Solution

The fourth proportional to 7,915.64, 10,926.35 and 4,559.81 is: 6,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.64 : 10,926.35 = 4,559.81 : x
  2. Step 2: Convert to fraction form
    7,915.64/10,926.35 = 4,559.81/x
  3. Step 3: Cross multiply
    7,915.64x = 10,926.35 × 4,559.81
  4. Step 4: Simplify right side
    7,915.64x = 49,822,057.19
  5. Step 5: Solve for x
    x = 49,822,057.19/7,915.64
  6. Step 6: Final answer
    x = 6,294.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.