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Finding the Fourth Proportional to 7,646.90, 10,550.13 and 4,854.02

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Solution

The fourth proportional to 7,646.90, 10,550.13 and 4,854.02 is: 6,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.90 : 10,550.13 = 4,854.02 : x
  2. Step 2: Convert to fraction form
    7,646.90/10,550.13 = 4,854.02/x
  3. Step 3: Cross multiply
    7,646.90x = 10,550.13 × 4,854.02
  4. Step 4: Simplify right side
    7,646.90x = 51,210,542.02
  5. Step 5: Solve for x
    x = 51,210,542.02/7,646.90
  6. Step 6: Final answer
    x = 6,696.90

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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.