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Finding the Fourth Proportional to 7,187.76, 9,915.96 and 4,830.60

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Solution

The fourth proportional to 7,187.76, 9,915.96 and 4,830.60 is: 6,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.76 : 9,915.96 = 4,830.60 : x
  2. Step 2: Convert to fraction form
    7,187.76/9,915.96 = 4,830.60/x
  3. Step 3: Cross multiply
    7,187.76x = 9,915.96 × 4,830.60
  4. Step 4: Simplify right side
    7,187.76x = 47,900,036.38
  5. Step 5: Solve for x
    x = 47,900,036.38/7,187.76
  6. Step 6: Final answer
    x = 6,664.11

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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.