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Finding the Fourth Proportional to 8,304.30, 12,459.14 and 4,972.02

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Solution

The fourth proportional to 8,304.30, 12,459.14 and 4,972.02 is: 7,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.30 : 12,459.14 = 4,972.02 : x
  2. Step 2: Convert to fraction form
    8,304.30/12,459.14 = 4,972.02/x
  3. Step 3: Cross multiply
    8,304.30x = 12,459.14 × 4,972.02
  4. Step 4: Simplify right side
    8,304.30x = 61,947,068.40
  5. Step 5: Solve for x
    x = 61,947,068.40/8,304.30
  6. Step 6: Final answer
    x = 7,459.64

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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.