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Finding the Fourth Proportional to 7,848.64, 10,830.54 and 4,704.40

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Solution

The fourth proportional to 7,848.64, 10,830.54 and 4,704.40 is: 6,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.64 : 10,830.54 = 4,704.40 : x
  2. Step 2: Convert to fraction form
    7,848.64/10,830.54 = 4,704.40/x
  3. Step 3: Cross multiply
    7,848.64x = 10,830.54 × 4,704.40
  4. Step 4: Simplify right side
    7,848.64x = 50,951,192.38
  5. Step 5: Solve for x
    x = 50,951,192.38/7,848.64
  6. Step 6: Final answer
    x = 6,491.72

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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.