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Finding the Fourth Proportional to 7,543.95, 10,414.40 and 4,712.89

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Solution

The fourth proportional to 7,543.95, 10,414.40 and 4,712.89 is: 6,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.95 : 10,414.40 = 4,712.89 : x
  2. Step 2: Convert to fraction form
    7,543.95/10,414.40 = 4,712.89/x
  3. Step 3: Cross multiply
    7,543.95x = 10,414.40 × 4,712.89
  4. Step 4: Simplify right side
    7,543.95x = 49,081,924.09
  5. Step 5: Solve for x
    x = 49,081,924.09/7,543.95
  6. Step 6: Final answer
    x = 6,506.13

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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.