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Finding the Fourth Proportional to 7,705.17, 10,632.87 and 4,348.08

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Solution

The fourth proportional to 7,705.17, 10,632.87 and 4,348.08 is: 6,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.17 : 10,632.87 = 4,348.08 : x
  2. Step 2: Convert to fraction form
    7,705.17/10,632.87 = 4,348.08/x
  3. Step 3: Cross multiply
    7,705.17x = 10,632.87 × 4,348.08
  4. Step 4: Simplify right side
    7,705.17x = 46,232,569.39
  5. Step 5: Solve for x
    x = 46,232,569.39/7,705.17
  6. Step 6: Final answer
    x = 6,000.20

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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.