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Finding the Fourth Proportional to 7,643.57, 11,465.58 and 4,312.04

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Solution

The fourth proportional to 7,643.57, 11,465.58 and 4,312.04 is: 6,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.57 : 11,465.58 = 4,312.04 : x
  2. Step 2: Convert to fraction form
    7,643.57/11,465.58 = 4,312.04/x
  3. Step 3: Cross multiply
    7,643.57x = 11,465.58 × 4,312.04
  4. Step 4: Simplify right side
    7,643.57x = 49,439,962.04
  5. Step 5: Solve for x
    x = 49,439,962.04/7,643.57
  6. Step 6: Final answer
    x = 6,468.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.