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Finding the Fourth Proportional to 7,743.61, 10,686.06 and 4,386.40

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Solution

The fourth proportional to 7,743.61, 10,686.06 and 4,386.40 is: 6,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.61 : 10,686.06 = 4,386.40 : x
  2. Step 2: Convert to fraction form
    7,743.61/10,686.06 = 4,386.40/x
  3. Step 3: Cross multiply
    7,743.61x = 10,686.06 × 4,386.40
  4. Step 4: Simplify right side
    7,743.61x = 46,873,306.87
  5. Step 5: Solve for x
    x = 46,873,306.87/7,743.61
  6. Step 6: Final answer
    x = 6,053.16

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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.