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Finding the Fourth Proportional to 8,482, 11,703.93 and 4,705.18

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Solution

The fourth proportional to 8,482, 11,703.93 and 4,705.18 is: 6,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482 : 11,703.93 = 4,705.18 : x
  2. Step 2: Convert to fraction form
    8,482/11,703.93 = 4,705.18/x
  3. Step 3: Cross multiply
    8,482x = 11,703.93 × 4,705.18
  4. Step 4: Simplify right side
    8,482x = 55,069,097.36
  5. Step 5: Solve for x
    x = 55,069,097.36/8,482
  6. Step 6: Final answer
    x = 6,492.47

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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.