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Finding the Fourth Proportional to 7,543.36, 10,409.95 and 4,140.65

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Solution

The fourth proportional to 7,543.36, 10,409.95 and 4,140.65 is: 5,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.36 : 10,409.95 = 4,140.65 : x
  2. Step 2: Convert to fraction form
    7,543.36/10,409.95 = 4,140.65/x
  3. Step 3: Cross multiply
    7,543.36x = 10,409.95 × 4,140.65
  4. Step 4: Simplify right side
    7,543.36x = 43,103,959.47
  5. Step 5: Solve for x
    x = 43,103,959.47/7,543.36
  6. Step 6: Final answer
    x = 5,714.16

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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.