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Finding the Fourth Proportional to 8,509.40, 11,746.68 and 4,972.04

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Solution

The fourth proportional to 8,509.40, 11,746.68 and 4,972.04 is: 6,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.40 : 11,746.68 = 4,972.04 : x
  2. Step 2: Convert to fraction form
    8,509.40/11,746.68 = 4,972.04/x
  3. Step 3: Cross multiply
    8,509.40x = 11,746.68 × 4,972.04
  4. Step 4: Simplify right side
    8,509.40x = 58,404,962.83
  5. Step 5: Solve for x
    x = 58,404,962.83/8,509.40
  6. Step 6: Final answer
    x = 6,863.58

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